101031023112100 has 72 divisors (see below), whose sum is σ = 222823834611840. Its totient is φ = 39756290104320.

The previous prime is 101031023112091. The next prime is 101031023112113. The reversal of 101031023112100 is 1211320130101.

It is a happy number.

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, 29564440 + ... + 32804239.

It is an arithmetic number, because the mean of its divisors is an integer number (3094775480720).

Almost surely, 2^{101031023112100} is an apocalyptic number.

101031023112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031023112100 is an abundant number, since it is smaller than the sum of its proper divisors (121792811499740).

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

101031023112100 is a wasteful number, since it uses less digits than its factorization.

101031023112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62368957 (or 62368950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101031023112100 its reverse (1211320130101), we get a palindrome (102242343242201).

The spelling of 101031023112100 in words is "one hundred one trillion, thirty-one billion, twenty-three million, one hundred twelve thousand, one hundred".