100100122122000 has 1280 divisors, whose sum is σ = 445018093019136. Its totient is φ = 18681062400000.

The previous prime is 100100122121941. The next prime is 100100122122019. The reversal of 100100122122000 is 221221001001.

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 255 ways as a sum of consecutive naturals, for example, 221996775 + ... + 222447225.

Almost surely, 2^{100100122122000} is an apocalyptic number.

100100122122000 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 100100122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222509046509568).

100100122122000 is an abundant number, since it is smaller than the sum of its proper divisors (344917970897136).

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

100100122122000 is a wasteful number, since it uses less digits than its factorization.

100100122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450545 (or 450529 counting only the distinct ones).

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

Adding to 100100122122000 its reverse (221221001001), we get a palindrome (100321343123001).

The spelling of 100100122122000 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand".