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1002120101010 = 232571590666827
BaseRepresentation
bin11101001010100110000…
…00110011110010010010
310112210122110202201022200
432211103000303302102
5112404320221213020
62044211223344030
7132254320212360
oct16452300636222
93483573681280
101002120101010
11356aa6743196
12142273bb2016
13736655a3a92
1436707c46630
151b10294e590
hexe953033c92

1002120101010 has 48 divisors (see below), whose sum is σ = 2977728302016. Its totient is φ = 229056022944.

The previous prime is 1002120100987. The next prime is 1002120101023. The reversal of 1002120101010 is 101010212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002120100983 and 1002120101001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795332784 + ... + 795334043.

It is an arithmetic number, because the mean of its divisors is an integer number (62036006292).

Almost surely, 21002120101010 is an apocalyptic number.

1002120101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002120101010 is an abundant number, since it is smaller than the sum of its proper divisors (1975608201006).

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

1002120101010 is a wasteful number, since it uses less digits than its factorization.

1002120101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590666847 (or 1590666844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002120101010 its reverse (101010212001), we get a palindrome (1103130313011).

The spelling of 1002120101010 in words is "one trillion, two billion, one hundred twenty million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1590666827 3181333654 4772000481 7953334135 9544000962 11134667789 14316001443 15906668270 22269335578 23860002405 28632002886 33404003367 47720004810 55673338945 66808006734 71580007215 100212010101 111346677890 143160014430 167020016835 200424020202 334040033670 501060050505 1002120101010