100122120000 has 840 divisors, whose sum is σ = 416661575616. Its totient is φ = 22505472000.

The previous prime is 100122119963. The next prime is 100122120001. The reversal of 100122120000 is 21221001.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168839704 + ... + 168840296.

Almost surely, 2^100122120000 is an apocalyptic number.

100122120000 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 100122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208330787808).

100122120000 is an abundant number, since it is smaller than the sum of its proper divisors (316539455616).

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

100122120000 is an equidigital number, since it uses as much as digits as its factorization.

100122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100122120000 its reverse (21221001), we get a palindrome (100143341001).

The spelling of 100122120000 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty thousand".