212100000012100 has 18 divisors (see below), whose sum is σ = 460257000026474. Its totient is φ = 84840000004800.

The previous prime is 212100000012071. The next prime is 212100000012161. The reversal of 212100000012100 is 1210000001212.

It can be written as a sum of positive squares in 3 ways, for example, as 3013258543876 + 209086741468224 = 1735874^2 + 14459832^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060499999961 + ... + 1060500000160.

Almost surely, 2^{212100000012100} is an apocalyptic number.

212100000012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100000012100 is an abundant number, since it is smaller than the sum of its proper divisors (248157000014374).

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

212100000012100 is a wasteful number, since it uses less digits than its factorization.

212100000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121000000135 (or 2121000000128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212100000012100 its reverse (1210000001212), we get a palindrome (213310000013312).

The spelling of 212100000012100 in words is "two hundred twelve trillion, one hundred billion, twelve thousand, one hundred".