101000103120 has 160 divisors (see below), whose sum is σ = 397587767040. Its totient is φ = 23085734400.

The previous prime is 101000103107. The next prime is 101000103131. The reversal of 101000103120 is 21301000101.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3324831 + ... + 3355070.

It is an arithmetic number, because the mean of its divisors is an integer number (2484923544).

Almost surely, 2^101000103120 is an apocalyptic number.

101000103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000103120 is an abundant number, since it is smaller than the sum of its proper divisors (296587663920).

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

101000103120 is a wasteful number, since it uses less digits than its factorization.

101000103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679930 (or 6679918 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101000103120 its reverse (21301000101), we get a palindrome (122301103221).

The spelling of 101000103120 in words is "one hundred one billion, one hundred three thousand, one hundred twenty".