211012121211120 has 80 divisors (see below), whose sum is σ = 726819528623520. Its totient is φ = 56269898989056.

The previous prime is 211012121211097. The next prime is 211012121211137. The reversal of 211012121211120 is 21112121210112.

It is a happy number.

211012121211120 is a `hidden beast` number, since 21 + 101 + 212 + 1 + 211 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211012121211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211012121211093 and 211012121211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48845396269 + ... + 48845400588.

It is an arithmetic number, because the mean of its divisors is an integer number (9085244107794).

Almost surely, 2^{211012121211120} is an apocalyptic number.

211012121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012121211120 is an abundant number, since it is smaller than the sum of its proper divisors (515807407412400).

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

211012121211120 is a wasteful number, since it uses less digits than its factorization.

211012121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97690796879 (or 97690796867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211012121211120 its reverse (21112121210112), we get a palindrome (232124242421232).

The spelling of 211012121211120 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".