102220200112122 has 320 divisors, whose sum is σ = 245869677047808. Its totient is φ = 31667095152000.

The previous prime is 102220200112087. The next prime is 102220200112127. The reversal of 102220200112122 is 221211002022201.

It is a happy number.

102220200112122 is a `hidden beast` number, since 10 + 2 + 220 + 200 + 112 + 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 = 102220200112095 and 102220200112104.

It is not an unprimeable number, because it can be changed into a prime (102220200112127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15556259097 + ... + 15556265667.

Almost surely, 2^{102220200112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220200112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122934838523904).

102220200112122 is an abundant number, since it is smaller than the sum of its proper divisors (143649476935686).

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

102220200112122 is a wasteful number, since it uses less digits than its factorization.

102220200112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7278 counting only the distinct ones).

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

Adding to 102220200112122 its reverse (221211002022201), we get a palindrome (323431202134323).

The spelling of 102220200112122 in words is "one hundred two trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, one hundred twenty-two".