102202220102310 has 96 divisors (see below), whose sum is σ = 267435787836672. Its totient is φ = 27078684264000.

The previous prime is 102202220102303. The next prime is 102202220102341. The reversal of 102202220102310 is 13201022202201.

102202220102310 is a `hidden beast` number, since 1 + 0 + 2 + 202 + 220 + 10 + 231 + 0 = 666.

It is a super-2 number, since 2×102202220102310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32322117 + ... + 35342943.

It is an arithmetic number, because the mean of its divisors is an integer number (2785789456632).

Almost surely, 2^{102202220102310} is an apocalyptic number.

102202220102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202220102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133717893918336).

102202220102310 is an abundant number, since it is smaller than the sum of its proper divisors (165233567734362).

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

102202220102310 is a wasteful number, since it uses less digits than its factorization.

102202220102310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023258 (or 3023255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102202220102310 its reverse (13201022202201), we get a palindrome (115403242304511).

The spelling of 102202220102310 in words is "one hundred two trillion, two hundred two billion, two hundred twenty million, one hundred two thousand, three hundred ten".