102211201111120 has 60 divisors (see below), whose sum is σ = 238361180822100. Its totient is φ = 40760958881280.

The previous prime is 102211201111111. The next prime is 102211201111157. The reversal of 102211201111120 is 21111102112201.

It can be written as a sum of positive squares in 2 ways, for example, as 72296383441984 + 29914817669136 = 8502728^2 + 5469444^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102211201111094 and 102211201111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2934156 + ... + 14595604.

It is an arithmetic number, because the mean of its divisors is an integer number (3972686347035).

Almost surely, 2^{102211201111120} is an apocalyptic number.

102211201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211201111120 is an abundant number, since it is smaller than the sum of its proper divisors (136149979710980).

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

102211201111120 is an equidigital number, since it uses as much as digits as its factorization.

102211201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662124 (or 11661787 counting only the distinct ones).

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

Adding to 102211201111120 its reverse (21111102112201), we get a palindrome (123322303223321).

The spelling of 102211201111120 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, one hundred eleven thousand, one hundred twenty".