102221222211100 has 144 divisors (see below), whose sum is σ = 247078390970880. Its totient is φ = 36530405049600.

The previous prime is 102221222211023. The next prime is 102221222211113. The reversal of 102221222211100 is 1112222122201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 13370247 + ... + 19575646.

It is an arithmetic number, because the mean of its divisors is an integer number (1715822159520).

Almost surely, 2^{102221222211100} is an apocalyptic number.

102221222211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221222211100 is an abundant number, since it is smaller than the sum of its proper divisors (144857168759780).

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

102221222211100 is a wasteful number, since it uses less digits than its factorization.

102221222211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32946020 (or 32946013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102221222211100 its reverse (1112222122201), we get a palindrome (103333444333301).

The spelling of 102221222211100 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".