100110102100 has 18 divisors (see below), whose sum is σ = 217238921774. Its totient is φ = 40044040800.

The previous prime is 100110102097. The next prime is 100110102101. The reversal of 100110102100 is 1201011001.

It can be written as a sum of positive squares in 3 ways, for example, as 8733276304 + 91376825796 = 93452^2 + 302286^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500550411 + ... + 500550610.

Almost surely, 2^100110102100 is an apocalyptic number.

100110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110102100 is an abundant number, since it is smaller than the sum of its proper divisors (117128819674).

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

100110102100 is a wasteful number, since it uses less digits than its factorization.

100110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001101035 (or 1001101028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100110102100 its reverse (1201011001), we get a palindrome (101311113101).

The spelling of 100110102100 in words is "one hundred billion, one hundred ten million, one hundred two thousand, one hundred".