102211220110120 has 128 divisors (see below), whose sum is σ = 271817527386240. Its totient is φ = 34167859568640.

The previous prime is 102211220109989. The next prime is 102211220110121. The reversal of 102211220110120 is 21011022112201.

It is a junction number, because it is equal to n+sod(n) for n = 102211220110094 and 102211220110103.

It is not an unprimeable number, because it can be changed into a prime (102211220110121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158569077 + ... + 159212356.

It is an arithmetic number, because the mean of its divisors is an integer number (2123574432705).

Almost surely, 2^{102211220110120} is an apocalyptic number.

102211220110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211220110120 is an abundant number, since it is smaller than the sum of its proper divisors (169606307276120).

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

102211220110120 is a wasteful number, since it uses less digits than its factorization.

102211220110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317781515 (or 317781511 counting only the distinct ones).

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

Adding to 102211220110120 its reverse (21011022112201), we get a palindrome (123222242222321).

The spelling of 102211220110120 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty million, one hundred ten thousand, one hundred twenty".