102202222012002 has 384 divisors, whose sum is σ = 277317379123200. Its totient is φ = 27780421737600.

The previous prime is 102202222011997. The next prime is 102202222012021. The reversal of 102202222012002 is 200210222202201.

102202222012002 is a `hidden beast` number, since 1 + 0 + 220 + 22 + 220 + 1 + 200 + 2 = 666.

It is a super-2 number, since 2×102202222012002² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11609926533 + ... + 11609935335.

It is an arithmetic number, because the mean of its divisors is an integer number (722180674800).

Almost surely, 2^{102202222012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202222012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138658689561600).

102202222012002 is an abundant number, since it is smaller than the sum of its proper divisors (175115157111198).

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

102202222012002 is a wasteful number, since it uses less digits than its factorization.

102202222012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102202222012002 its reverse (200210222202201), we get a palindrome (302412444214203).

The spelling of 102202222012002 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-two million, twelve thousand, two".