100212102100 has 36 divisors (see below), whose sum is σ = 237229378848. Its totient is φ = 36440764000.

The previous prime is 100212102073. The next prime is 100212102101. The reversal of 100212102100 is 1201212001.

It is a super-4 number, since 4×100212102100⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45549856 + ... + 45552055.

It is an arithmetic number, because the mean of its divisors is an integer number (6589704968).

Almost surely, 2^100212102100 is an apocalyptic number.

100212102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212102100 is an abundant number, since it is smaller than the sum of its proper divisors (137017276748).

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

100212102100 is a wasteful number, since it uses less digits than its factorization.

100212102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91101936 (or 91101929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100212102100 its reverse (1201212001), we get a palindrome (101413314101).

The spelling of 100212102100 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, one hundred".