102202111201120 has 96 divisors (see below), whose sum is σ = 280469400434496. Its totient is φ = 34466285721600.

The previous prime is 102202111201093. The next prime is 102202111201193. The reversal of 102202111201120 is 21102111202201.

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 = 102202111201094 and 102202111201103.

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, 747897951 + ... + 748034590.

It is an arithmetic number, because the mean of its divisors is an integer number (2921556254526).

Almost surely, 2^{102202111201120} is an apocalyptic number.

102202111201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202111201120 is an abundant number, since it is smaller than the sum of its proper divisors (178267289233376).

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

102202111201120 is a wasteful number, since it uses less digits than its factorization.

102202111201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495932624 (or 1495932616 counting only the distinct ones).

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

Adding to 102202111201120 its reverse (21102111202201), we get a palindrome (123304222403321).

The spelling of 102202111201120 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, two hundred one thousand, one hundred twenty".