102210010222122 has 144 divisors (see below), whose sum is σ = 251117459174400. Its totient is φ = 30000486922560.

The previous prime is 102210010222063. The next prime is 102210010222169. The reversal of 102210010222122 is 221222010012201.

It is a happy number.

102210010222122 is a `hidden beast` number, since 102 + 210 + 0 + 10 + 222 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210010222095 and 102210010222104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15126879 + ... + 20814477.

Almost surely, 2^{102210010222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210010222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125558729587200).

102210010222122 is an abundant number, since it is smaller than the sum of its proper divisors (148907448952278).

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

102210010222122 is a wasteful number, since it uses less digits than its factorization.

102210010222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687889 (or 5687875 counting only the distinct ones).

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

Adding to 102210010222122 its reverse (221222010012201), we get a palindrome (323432020234323).

The spelling of 102210010222122 in words is "one hundred two trillion, two hundred ten billion, ten million, two hundred twenty-two thousand, one hundred twenty-two".