102222101121100 has 72 divisors (see below), whose sum is σ = 226193152899168. Its totient is φ = 40090951488000.

The previous prime is 102222101121017. The next prime is 102222101121113. The reversal of 102222101121100 is 1121101222201.

It is a super-2 number, since 2×102222101121100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48090769 + ... + 50171368.

It is an arithmetic number, because the mean of its divisors is an integer number (3141571568044).

Almost surely, 2^{102222101121100} is an apocalyptic number.

102222101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222101121100 is an abundant number, since it is smaller than the sum of its proper divisors (123971051778068).

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

102222101121100 is a wasteful number, since it uses less digits than its factorization.

102222101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98262355 (or 98262348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102222101121100 its reverse (1121101222201), we get a palindrome (103343202343301).

It can be divided in two parts, 102222101 and 121100, that added together give a palindrome (102343201).

The spelling of 102222101121100 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred".