100212102022100 has 72 divisors (see below), whose sum is σ = 225060835184640. Its totient is φ = 38685066152320.

The previous prime is 100212102022099. The next prime is 100212102022139. The reversal of 100212102022100 is 1220201212001.

It is a super-4 number, since 4×100212102022100⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

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, 1428404 + ... + 14229003.

It is an arithmetic number, because the mean of its divisors is an integer number (3125844933120).

Almost surely, 2^{100212102022100} is an apocalyptic number.

100212102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212102022100 is an abundant number, since it is smaller than the sum of its proper divisors (124848733162540).

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

100212102022100 is a wasteful number, since it uses less digits than its factorization.

100212102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15659657 (or 15659650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212102022100 its reverse (1220201212001), we get a palindrome (101432303234101).

The spelling of 100212102022100 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, twenty-two thousand, one hundred".