212012122010100 has 144 divisors (see below), whose sum is σ = 632969989577856. Its totient is φ = 54755014400000.

The previous prime is 212012122010099. The next prime is 212012122010149. The reversal of 212012122010100 is 1010221210212.

212012122010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012122010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61222776 + ... + 64592975.

It is an arithmetic number, because the mean of its divisors is an integer number (4395624927624).

Almost surely, 2^{212012122010100} is an apocalyptic number.

212012122010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012122010100 is an abundant number, since it is smaller than the sum of its proper divisors (420957867567756).

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

212012122010100 is a wasteful number, since it uses less digits than its factorization.

212012122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125815946 (or 125815939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212012122010100 its reverse (1010221210212), we get a palindrome (213022343220312).

The spelling of 212012122010100 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, ten thousand, one hundred".