100120101220000 has 60 divisors (see below), whose sum is σ = 246310467065586. Its totient is φ = 40048040480000.

The previous prime is 100120101219959. The next prime is 100120101220033. The reversal of 100120101220000 is 22101021001.

It can be written as a sum of positive squares in 5 ways, for example, as 12171641708944 + 87948459511056 = 3488788^2 + 9378084^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2502982531 + ... + 2503022530.

Almost surely, 2^{100120101220000} is an apocalyptic number.

100120101220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120101220000 is an abundant number, since it is smaller than the sum of its proper divisors (146190365845586).

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

100120101220000 is an frugal number, since it uses more digits than its factorization.

100120101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006005091 (or 5006005068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120101220000 its reverse (22101021001), we get a palindrome (100142202241001).

The spelling of 100120101220000 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, two hundred twenty thousand".