101011112100 has 72 divisors (see below), whose sum is σ = 324732028320. Its totient is φ = 26936295840.

The previous prime is 101011112093. The next prime is 101011112161. The reversal of 101011112100 is 1211110101.

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

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, 18703062 + ... + 18708461.

It is an arithmetic number, because the mean of its divisors is an integer number (4510167060).

Almost surely, 2^101011112100 is an apocalyptic number.

101011112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011112100 is an abundant number, since it is smaller than the sum of its proper divisors (223720916220).

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

101011112100 is a wasteful number, since it uses less digits than its factorization.

101011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37411546 (or 37411533 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011112100 its reverse (1211110101), we get a palindrome (102222222201).

The spelling of 101011112100 in words is "one hundred one billion, eleven million, one hundred twelve thousand, one hundred".