100120121022000 has 160 divisors (see below), whose sum is σ = 322993291106304. Its totient is φ = 26681658336000.

The previous prime is 100120121021989. The next prime is 100120121022073. The reversal of 100120121022000 is 220121021001.

It is a super-3 number, since 3×100120121022000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077595 + ... + 14726405.

Almost surely, 2^{100120121022000} is an apocalyptic number.

100120121022000 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 100120121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161496645553152).

100120121022000 is an abundant number, since it is smaller than the sum of its proper divisors (222873170084304).

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

100120121022000 is a wasteful number, since it uses less digits than its factorization.

100120121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650404 (or 10650388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120121022000 its reverse (220121021001), we get a palindrome (100340242043001).

Subtracting from 100120121022000 its reverse (220121021001), we obtain a palindrome (99900000000999).

The spelling of 100120121022000 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-one million, twenty-two thousand".