211211220010120 has 128 divisors (see below), whose sum is σ = 554358163593600. Its totient is φ = 71570487808000.

The previous prime is 211211220010097. The next prime is 211211220010123. The reversal of 211211220010120 is 21010022112112.

It is a super-2 number, since 2×211211220010120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211220010094 and 211211220010103.

It is not an unprimeable number, because it can be changed into a prime (211211220010123) 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 31 ways as a sum of consecutive naturals, for example, 139030630 + ... + 140541589.

It is an arithmetic number, because the mean of its divisors is an integer number (4330923153075).

Almost surely, 2^{211211220010120} is an apocalyptic number.

211211220010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211220010120 is an abundant number, since it is smaller than the sum of its proper divisors (343146943583480).

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

211211220010120 is a wasteful number, since it uses less digits than its factorization.

211211220010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279572359 (or 279572355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211211220010120 its reverse (21010022112112), we get a palindrome (232221242122232).

The spelling of 211211220010120 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty million, ten thousand, one hundred twenty".