212112100100100 has 144 divisors (see below), whose sum is σ = 638062850488896. Its totient is φ = 54359999232000.

The previous prime is 212112100100053. The next prime is 212112100100101. The reversal of 212112100100100 is 1001001211212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212112100100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127869081 + ... + 129517280.

It is an arithmetic number, because the mean of its divisors is an integer number (4430992017284).

Almost surely, 2^{212112100100100} is an apocalyptic number.

212112100100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112100100100 is an abundant number, since it is smaller than the sum of its proper divisors (425950750388796).

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

212112100100100 is a wasteful number, since it uses less digits than its factorization.

212112100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257386486 (or 257386479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212112100100100 its reverse (1001001211212), we get a palindrome (213113101311312).

The spelling of 212112100100100 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred".