102222211011100 has 72 divisors (see below), whose sum is σ = 223591221690368. Its totient is φ = 40562861572800.

The previous prime is 102222211011071. The next prime is 102222211011103. The reversal of 102222211011100 is 1110112222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222211011103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128011669 + ... + 128807731.

Almost surely, 2^{102222211011100} is an apocalyptic number.

102222211011100 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 102222211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111795610845184).

102222211011100 is an abundant number, since it is smaller than the sum of its proper divisors (121369010679268).

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

102222211011100 is a wasteful number, since it uses less digits than its factorization.

102222211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806315 (or 806308 counting only the distinct ones).

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

Adding to 102222211011100 its reverse (1110112222201), we get a palindrome (103332323233301).

It can be divided in two parts, 10222221101 and 1100, that added together give a palindrome (10222222201).

The spelling of 102222211011100 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred eleven million, eleven thousand, one hundred".