100121101220000 has 360 divisors, whose sum is σ = 287076605530176. Its totient is φ = 34261424064000.

The previous prime is 100121101219879. The next prime is 100121101220047. The reversal of 100121101220000 is 22101121001.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 512442329 + ... + 512637671.

Almost surely, 2^{100121101220000} is an apocalyptic number.

100121101220000 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 100121101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143538302765088).

100121101220000 is an abundant number, since it is smaller than the sum of its proper divisors (186955504310176).

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

100121101220000 is an equidigital number, since it uses as much as digits as its factorization.

100121101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195910 (or 195880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121101220000 its reverse (22101121001), we get a palindrome (100143202341001).

The spelling of 100121101220000 in words is "one hundred trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty thousand".