212112121002100 has 72 divisors (see below), whose sum is σ = 502134256725696. Its totient is φ = 77130602400000.

The previous prime is 212112121002091. The next prime is 212112121002191. The reversal of 212112121002100 is 1200121211212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79606425 + ... + 82227775.

It is an arithmetic number, because the mean of its divisors is an integer number (6974086898968).

Almost surely, 2^{212112121002100} is an apocalyptic number.

212112121002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112121002100 is an abundant number, since it is smaller than the sum of its proper divisors (290022135723596).

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

212112121002100 is a wasteful number, since it uses less digits than its factorization.

212112121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694937 (or 2694930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112121002100 its reverse (1200121211212), we get a palindrome (213312242213312).

The spelling of 212112121002100 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred".