102202112100102 has 96 divisors (see below), whose sum is σ = 240772648967424. Its totient is φ = 28833020596800.

The previous prime is 102202112100091. The next prime is 102202112100131. The reversal of 102202112100102 is 201001211202201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43536352 + ... + 45823772.

It is an arithmetic number, because the mean of its divisors is an integer number (2508048426744).

Almost surely, 2^{102202112100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202112100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120386324483712).

102202112100102 is an abundant number, since it is smaller than the sum of its proper divisors (138570536867322).

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

102202112100102 is a wasteful number, since it uses less digits than its factorization.

102202112100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289354 (or 2289347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202112100102 its reverse (201001211202201), we get a palindrome (303203323302303).

The spelling of 102202112100102 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred thousand, one hundred two".