100012022100 has 108 divisors (see below), whose sum is σ = 317776611516. Its totient is φ = 26304514560.

The previous prime is 100012022087. The next prime is 100012022107. The reversal of 100012022100 is 1220210001.

It can be written as a sum of positive squares in 6 ways, for example, as 1066544964 + 98945477136 = 32658^2 + 314556^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012022107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 695427 + ... + 826826.

Almost surely, 2^100012022100 is an apocalyptic number.

100012022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012022100 is an abundant number, since it is smaller than the sum of its proper divisors (217764589416).

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

100012022100 is a wasteful number, since it uses less digits than its factorization.

100012022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522346 (or 1522336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100012022100 its reverse (1220210001), we get a palindrome (101232232101).

The spelling of 100012022100 in words is "one hundred billion, twelve million, twenty-two thousand, one hundred".