211120020010120 has 128 divisors (see below), whose sum is σ = 530296150406400. Its totient is φ = 75136362034176.

The previous prime is 211120020010099. The next prime is 211120020010243. The reversal of 211120020010120 is 21010020021112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 211120020010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49216900 + ... + 53334259.

It is an arithmetic number, because the mean of its divisors is an integer number (4142938675050).

Almost surely, 2^{211120020010120} is an apocalyptic number.

211120020010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120020010120 is an abundant number, since it is smaller than the sum of its proper divisors (319176130396280).

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

211120020010120 is a wasteful number, since it uses less digits than its factorization.

211120020010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102551327 (or 102551323 counting only the distinct ones).

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

Adding to 211120020010120 its reverse (21010020021112), we get a palindrome (232130040031232).

The spelling of 211120020010120 in words is "two hundred eleven trillion, one hundred twenty billion, twenty million, ten thousand, one hundred twenty".