100021110100 has 36 divisors (see below), whose sum is σ = 217059849468. Its totient is φ = 40005856000.

The previous prime is 100021110083. The next prime is 100021110131. The reversal of 100021110100 is 1011120001.

It can be written as a sum of positive squares in 6 ways, for example, as 3624521616 + 96396588484 = 60204^2 + 310478^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2534520 + ... + 2573680.

It is an arithmetic number, because the mean of its divisors is an integer number (6029440263).

Almost surely, 2^100021110100 is an apocalyptic number.

100021110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021110100 is an abundant number, since it is smaller than the sum of its proper divisors (117038739368).

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

100021110100 is a wasteful number, since it uses less digits than its factorization.

100021110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64716 (or 64709 counting only the distinct ones).

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

Adding to 100021110100 its reverse (1011120001), we get a palindrome (101032230101).

Subtracting from 100021110100 its reverse (1011120001), we obtain a palindrome (99009990099).

The spelling of 100021110100 in words is "one hundred billion, twenty-one million, one hundred ten thousand, one hundred".