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101121002220 = 22357376507143
BaseRepresentation
bin101111000101101001…
…0000000101011101100
3100200000022000011012110
41132023102000223230
53124043434032340
6114242050004020
710206605223360
oct1361322005354
9320008004173
10101121002220
1139981195717
1217721276610
1396c6b34a74
144c73ca92a0
15296c86d680
hex178b480aec

101121002220 has 96 divisors (see below), whose sum is σ = 332332858368. Its totient is φ = 22488682752.

The previous prime is 101121002197. The next prime is 101121002237. The reversal of 101121002220 is 22200121101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101121002196 and 101121002205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238032 + ... + 3269111.

It is an arithmetic number, because the mean of its divisors is an integer number (3461800608).

Almost surely, 2101121002220 is an apocalyptic number.

101121002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121002220 is an abundant number, since it is smaller than the sum of its proper divisors (231211856148).

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

101121002220 is a wasteful number, since it uses less digits than its factorization.

101121002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507199 (or 6507197 counting only the distinct ones).

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

Adding to 101121002220 its reverse (22200121101), we get a palindrome (123321123321).

The spelling of 101121002220 in words is "one hundred one billion, one hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 6507143 13014286 19521429 26028572 32535715 39042858 45550001 65071430 78085716 91100002 97607145 130142860 136650003 182200004 195214290 227750005 240764291 273300006 390428580 455500010 481528582 546600012 683250015 722292873 911000020 963057164 1203821455 1366500030 1444585746 1685350037 2407642910 2733000060 2889171492 3370700074 3611464365 4815285820 5056050111 6741400148 7222928730 8426750185 10112100222 14445857460 16853500370 20224200444 25280250555 33707000740 50560501110 101121002220