100212012100 has 18 divisors (see below), whose sum is σ = 217460066474. Its totient is φ = 40084804800.

The previous prime is 100212012041. The next prime is 100212012107. The reversal of 100212012100 is 1210212001.

100212012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 16306779204 + 83905232896 = 127698^2 + 289664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100212012107) 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, 501059961 + ... + 501060160.

Almost surely, 2^100212012100 is an apocalyptic number.

100212012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212012100 is an abundant number, since it is smaller than the sum of its proper divisors (117248054374).

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

100212012100 is a wasteful number, since it uses less digits than its factorization.

100212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002120135 (or 1002120128 counting only the distinct ones).

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

Adding to 100212012100 its reverse (1210212001), we get a palindrome (101422224101).

The spelling of 100212012100 in words is "one hundred billion, two hundred twelve million, twelve thousand, one hundred".