100020013103120 has 40 divisors (see below), whose sum is σ = 253687124145600. Its totient is φ = 36370913855360.

The previous prime is 100020013103119. The next prime is 100020013103161. The reversal of 100020013103120 is 21301310020001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100020013103120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020013103095 and 100020013103104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56829552020 + ... + 56829553779.

It is an arithmetic number, because the mean of its divisors is an integer number (6342178103640).

Almost surely, 2^{100020013103120} is an apocalyptic number.

100020013103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020013103120 is an abundant number, since it is smaller than the sum of its proper divisors (153667111042480).

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

100020013103120 is a wasteful number, since it uses less digits than its factorization.

100020013103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113659105823 (or 113659105817 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100020013103120 its reverse (21301310020001), we get a palindrome (121321323123121).

The spelling of 100020013103120 in words is "one hundred trillion, twenty billion, thirteen million, one hundred three thousand, one hundred twenty".