102210202111120 has 80 divisors (see below), whose sum is σ = 240468708517632. Its totient is φ = 40398810636800.

The previous prime is 102210202111111. The next prime is 102210202111123. The reversal of 102210202111120 is 21111202012201.

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

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 = 102210202111094 and 102210202111103.

It is not an unprimeable number, because it can be changed into a prime (102210202111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8510092 + ... + 16638571.

Almost surely, 2^{102210202111120} is an apocalyptic number.

102210202111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210202111120 is an abundant number, since it is smaller than the sum of its proper divisors (138258506406512).

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

102210202111120 is a wasteful number, since it uses less digits than its factorization.

102210202111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25149280 (or 25149274 counting only the distinct ones).

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

Adding to 102210202111120 its reverse (21111202012201), we get a palindrome (123321404123321).

The spelling of 102210202111120 in words is "one hundred two trillion, two hundred ten billion, two hundred two million, one hundred eleven thousand, one hundred twenty".