100122011022000 has 320 divisors, whose sum is σ = 367448577500160. Its totient is φ = 23216697856000.

The previous prime is 100122011021861. The next prime is 100122011022013. The reversal of 100122011022000 is 220110221001.

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 63 ways as a sum of consecutive naturals, for example, 31460265 + ... + 34496264.

It is an arithmetic number, because the mean of its divisors is an integer number (1148276804688).

Almost surely, 2^{100122011022000} is an apocalyptic number.

100122011022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122011022000 is an abundant number, since it is smaller than the sum of its proper divisors (267326566478160).

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

100122011022000 is a wasteful number, since it uses less digits than its factorization.

100122011022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65956589 (or 65956573 counting only the distinct ones).

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

Adding to 100122011022000 its reverse (220110221001), we get a palindrome (100342121243001).

The spelling of 100122011022000 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, twenty-two thousand".