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1012220120100 = 2235274710255523
BaseRepresentation
bin11101011101011010000…
…01010100110000100100
310120202201100201211211210
432232231001110300210
5113041011322320400
62053001342031420
7133062521026230
oct16565501246044
93522640654753
101012220120100
11360309962002
12144212578570
13745b4c10637
1436dc53a35c0
151b4e44b7950
hexebad054c24

1012220120100 has 144 divisors (see below), whose sum is σ = 3418289215488. Its totient is φ = 226441925760.

The previous prime is 1012220120089. The next prime is 1012220120111. The reversal of 1012220120100 is 10210222101.

It is an interprime number because it is at equal distance from previous prime (1012220120089) and next prime (1012220120111).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5029062 + ... + 5226461.

It is an arithmetic number, because the mean of its divisors is an integer number (23738119552).

Almost surely, 21012220120100 is an apocalyptic number.

1012220120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012220120100 is an abundant number, since it is smaller than the sum of its proper divisors (2406069095388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012220120100 is a wasteful number, since it uses less digits than its factorization.

1012220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255594 (or 10255587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012220120100 its reverse (10210222101), we get a palindrome (1022430342201).

The spelling of 1012220120100 in words is "one trillion, twelve billion, two hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 329 350 420 470 525 564 658 700 705 940 987 1050 1175 1316 1410 1645 1974 2100 2350 2820 3290 3525 3948 4700 4935 6580 7050 8225 9870 14100 16450 19740 24675 32900 49350 98700 10255523 20511046 30766569 41022092 51277615 61533138 71788661 102555230 123066276 143577322 153832845 205110460 215365983 256388075 287154644 307665690 358943305 430731966 482009581 512776150 615331380 717886610 769164225 861463932 964019162 1025552300 1076829915 1435773220 1446028743 1538328450 1794716525 1928038324 2153659830 2410047905 2892057486 3076656900 3374067067 3589433050 4307319660 4820095810 5384149575 5784114972 6748134134 7178866100 7230143715 9640191620 10122201201 10768299150 12050239525 13496268268 14460287430 16870335335 20244402402 21536598300 24100479050 28920574860 33740670670 36150718575 40488804804 48200958100 50611006005 67481341340 72301437150 84351676675 101222012010 144602874300 168703353350 202444024020 253055030025 337406706700 506110060050 1012220120100