102220110112122 has 48 divisors (see below), whose sum is σ = 229199124746592. Its totient is φ = 32899395840480.

The previous prime is 102220110112097. The next prime is 102220110112171. The reversal of 102220110112122 is 221211011022201.

102220110112122 is a `hidden beast` number, since 102 + 220 + 110 + 112 + 122 = 666.

It is a super-2 number, since 2×102220110112122² (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 junction number, because it is equal to n+sod(n) for n = 102220110112095 and 102220110112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585728208 + ... + 585902699.

It is an arithmetic number, because the mean of its divisors is an integer number (4774981765554).

Almost surely, 2^{102220110112122} is an apocalyptic number.

102220110112122 is an abundant number, since it is smaller than the sum of its proper divisors (126979014634470).

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

102220110112122 is a wasteful number, since it uses less digits than its factorization.

102220110112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171631083 (or 1171631080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102220110112122 its reverse (221211011022201), we get a palindrome (323431121134323).

The spelling of 102220110112122 in words is "one hundred two trillion, two hundred twenty billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-two".