100120222121000 has 32 divisors (see below), whose sum is σ = 234281319765480. Its totient is φ = 40048088848000.

The previous prime is 100120222120993. The next prime is 100120222121011. The reversal of 100120222121000 is 121222021001.

It can be written as a sum of positive squares in 4 ways, for example, as 42831762981604 + 57288459139396 = 6544598^2 + 7568914^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50060110061 + ... + 50060112060.

Almost surely, 2^{100120222121000} is an apocalyptic number.

100120222121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120222121000 is an abundant number, since it is smaller than the sum of its proper divisors (134161097644480).

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

100120222121000 is a wasteful number, since it uses less digits than its factorization.

100120222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100120222142 (or 100120222128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100120222121000 its reverse (121222021001), we get a palindrome (100241444142001).

Subtracting from 100120222121000 its reverse (121222021001), we obtain a palindrome (99999000099999).

The spelling of 100120222121000 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand".