100222120121200 has 120 divisors (see below), whose sum is σ = 300197789504640. Its totient is φ = 31238063404800.

The previous prime is 100222120121173. The next prime is 100222120121239. The reversal of 100222120121200 is 2121021222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626951670 + ... + 1627013269.

It is an arithmetic number, because the mean of its divisors is an integer number (2501648245872).

Almost surely, 2^{100222120121200} is an apocalyptic number.

100222120121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222120121200 is an abundant number, since it is smaller than the sum of its proper divisors (199975669383440).

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

100222120121200 is a wasteful number, since it uses less digits than its factorization.

100222120121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253964975 (or 3253964964 counting only the distinct ones).

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

Adding to 100222120121200 its reverse (2121021222001), we get a palindrome (102343141343201).

The spelling of 100222120121200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".