212001120002100 has 288 divisors, whose sum is σ = 737384653361664. Its totient is φ = 46337535014400.

The previous prime is 212001120002003. The next prime is 212001120002123. The reversal of 212001120002100 is 1200021100212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55617522 + ... + 59306921.

It is an arithmetic number, because the mean of its divisors is an integer number (2560363379728).

Almost surely, 2^{212001120002100} is an apocalyptic number.

212001120002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001120002100 is an abundant number, since it is smaller than the sum of its proper divisors (525383533359564).

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

212001120002100 is a wasteful number, since it uses less digits than its factorization.

212001120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114924527 (or 114924520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212001120002100 its reverse (1200021100212), we get a palindrome (213201141102312).

The spelling of 212001120002100 in words is "two hundred twelve trillion, one billion, one hundred twenty million, two thousand, one hundred".