102202212202120 has 16 divisors (see below), whose sum is σ = 229954977454860. Its totient is φ = 40880884880832.

The previous prime is 102202212202093. The next prime is 102202212202159. The reversal of 102202212202120 is 21202212202201.

102202212202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 102159979486084 + 42232716036 = 10107422^2 + 205506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277527652487 + ... + 1277527652566.

Almost surely, 2^{102202212202120} is an apocalyptic number.

102202212202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202212202120 is an abundant number, since it is smaller than the sum of its proper divisors (127752765252740).

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

102202212202120 is a wasteful number, since it uses less digits than its factorization.

102202212202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555055305064 (or 2555055305060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102202212202120 its reverse (21202212202201), we get a palindrome (123404424404321).

The spelling of 102202212202120 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, two hundred two thousand, one hundred twenty".