211200102010120 has 64 divisors (see below), whose sum is σ = 520503294049200. Its totient is φ = 76768880885760.

The previous prime is 211200102010111. The next prime is 211200102010129. The reversal of 211200102010120 is 21010201002112.

It is an interprime number because it is at equal distance from previous prime (211200102010111) and next prime (211200102010129).

It can be written as a sum of positive squares in 8 ways, for example, as 154776838792356 + 56423263217764 = 12440934^2 + 7511542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211200102010120.

It is not an unprimeable number, because it can be changed into a prime (211200102010129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5354952441 + ... + 5354991880.

Almost surely, 2^{211200102010120} is an apocalyptic number.

211200102010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200102010120 is an abundant number, since it is smaller than the sum of its proper divisors (309303192039080).

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

211200102010120 is a wasteful number, since it uses less digits than its factorization.

211200102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709944378 (or 10709944374 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211200102010120 its reverse (21010201002112), we get a palindrome (232210303012232).

The spelling of 211200102010120 in words is "two hundred eleven trillion, two hundred billion, one hundred two million, ten thousand, one hundred twenty".