100010102111100 has 108 divisors (see below), whose sum is σ = 319390752667896. Its totient is φ = 26166165068160.

The previous prime is 100010102111099. The next prime is 100010102111201. The reversal of 100010102111100 is 1111201010001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048276222 + ... + 1048371621.

It is an arithmetic number, because the mean of its divisors is an integer number (2957321783962).

Almost surely, 2^{100010102111100} is an apocalyptic number.

100010102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010102111100 is an abundant number, since it is smaller than the sum of its proper divisors (219380650556796).

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

100010102111100 is a wasteful number, since it uses less digits than its factorization.

100010102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096647916 (or 2096647906 counting only the distinct ones).

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

Adding to 100010102111100 its reverse (1111201010001), we get a palindrome (101121303121101).

The spelling of 100010102111100 in words is "one hundred trillion, ten billion, one hundred two million, one hundred eleven thousand, one hundred".