100212012112 has 40 divisors (see below), whose sum is σ = 200453162240. Its totient is φ = 48482634240.

The previous prime is 100212012107. The next prime is 100212012181. The reversal of 100212012112 is 211210212001.

100212012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100212012092 and 100212012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5443339 + ... + 5461717.

It is an arithmetic number, because the mean of its divisors is an integer number (5011329056).

Almost surely, 2^100212012112 is an apocalyptic number.

It is an amenable number.

100212012112 is an abundant number, since it is smaller than the sum of its proper divisors (100241150128).

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

100212012112 is a wasteful number, since it uses less digits than its factorization.

100212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29411 (or 29405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212012112 its reverse (211210212001), we get a palindrome (311422224113).

The spelling of 100212012112 in words is "one hundred billion, two hundred twelve million, twelve thousand, one hundred twelve".