102220210122102 has 192 divisors, whose sum is σ = 242145592416000. Its totient is φ = 32229749155968.

The previous prime is 102220210121999. The next prime is 102220210122157. The reversal of 102220210122102 is 201221012022201.

It is a happy number.

102220210122102 is a `hidden beast` number, since 10 + 2 + 220 + 210 + 1 + 221 + 0 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 25625520724 + ... + 25625524712.

It is an arithmetic number, because the mean of its divisors is an integer number (1261174960500).

Almost surely, 2^{102220210122102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220210122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121072796208000).

102220210122102 is an abundant number, since it is smaller than the sum of its proper divisors (139925382293898).

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

102220210122102 is a wasteful number, since it uses less digits than its factorization.

102220210122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102220210122102 its reverse (201221012022201), we get a palindrome (303441222144303).

The spelling of 102220210122102 in words is "one hundred two trillion, two hundred twenty billion, two hundred ten million, one hundred twenty-two thousand, one hundred two".