102222100212100 has 108 divisors (see below), whose sum is σ = 244407255465744. Its totient is φ = 36803632400000.

The previous prime is 102222100212083. The next prime is 102222100212191. The reversal of 102222100212100 is 1212001222201.

It is a happy number.

It is a super-2 number, since 2×102222100212100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6666195 + ... + 15776005.

Almost surely, 2^{102222100212100} is an apocalyptic number.

102222100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222100212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122203627732872).

102222100212100 is an abundant number, since it is smaller than the sum of its proper divisors (142185155253644).

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

102222100212100 is a wasteful number, since it uses less digits than its factorization.

102222100212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110038 (or 9109930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102222100212100 its reverse (1212001222201), we get a palindrome (103434101434301).

The spelling of 102222100212100 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, two hundred twelve thousand, one hundred".