212100120200100 has 144 divisors (see below), whose sum is σ = 676093475123136. Its totient is φ = 50909119680000.

The previous prime is 212100120200041. The next prime is 212100120200117. The reversal of 212100120200100 is 1002021001212.

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

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, 317848699 + ... + 318515298.

It is an arithmetic number, because the mean of its divisors is an integer number (4695093577244).

Almost surely, 2^{212100120200100} is an apocalyptic number.

212100120200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100120200100 is an abundant number, since it is smaller than the sum of its proper divisors (463993354923036).

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

212100120200100 is a wasteful number, since it uses less digits than its factorization.

212100120200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636364126 (or 636364119 counting only the distinct ones).

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

Adding to 212100120200100 its reverse (1002021001212), we get a palindrome (213102141201312).

The spelling of 212100120200100 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty million, two hundred thousand, one hundred".