102112110122022 has 192 divisors, whose sum is σ = 297087377094144. Its totient is φ = 24479624632320.

The previous prime is 102112110121981. The next prime is 102112110122053. The reversal of 102112110122022 is 220221011211201.

102112110122022 is a `hidden beast` number, since 1 + 0 + 211 + 211 + 0 + 1 + 220 + 22 = 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 = 102112110121986 and 102112110122004.

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, 159446038 + ... + 160085174.

It is an arithmetic number, because the mean of its divisors is an integer number (1547330089032).

Almost surely, 2^{102112110122022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112110122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148543688547072).

102112110122022 is an abundant number, since it is smaller than the sum of its proper divisors (194975266972122).

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

102112110122022 is a wasteful number, since it uses less digits than its factorization.

102112110122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648043 (or 648040 counting only the distinct ones).

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

Adding to 102112110122022 its reverse (220221011211201), we get a palindrome (322333121333223).

The spelling of 102112110122022 in words is "one hundred two trillion, one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, twenty-two".