102220021102122 has 384 divisors, whose sum is σ = 301497502924800. Its totient is φ = 25147200254400.

The previous prime is 102220021102079. The next prime is 102220021102151. The reversal of 102220021102122 is 221201120022201.

It is a happy number.

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 = 102220021102095 and 102220021102104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3434913079 + ... + 3434942837.

It is an arithmetic number, because the mean of its divisors is an integer number (785149747200).

Almost surely, 2^{102220021102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220021102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150748751462400).

102220021102122 is an abundant number, since it is smaller than the sum of its proper divisors (199277481822678).

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

102220021102122 is a wasteful number, since it uses less digits than its factorization.

102220021102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34644 (or 34632 counting only the distinct ones).

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

Adding to 102220021102122 its reverse (221201120022201), we get a palindrome (323421141124323).

The spelling of 102220021102122 in words is "one hundred two trillion, two hundred twenty billion, twenty-one million, one hundred two thousand, one hundred twenty-two".