102222202000100 has 144 divisors (see below), whose sum is σ = 281818748445696. Its totient is φ = 31308040512000.

The previous prime is 102222202000067. The next prime is 102222202000111. The reversal of 102222202000100 is 1000202222201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180898691 + ... + 181462890.

It is an arithmetic number, because the mean of its divisors is an integer number (1957074641984).

Almost surely, 2^{102222202000100} is an apocalyptic number.

102222202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222202000100 is an abundant number, since it is smaller than the sum of its proper divisors (179596546445596).

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

102222202000100 is a wasteful number, since it uses less digits than its factorization.

102222202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362361646 (or 362361639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102222202000100 its reverse (1000202222201), we get a palindrome (103222404222301).

The spelling of 102222202000100 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two million, one hundred", and thus it is an aban number.