100121101220 has 72 divisors (see below), whose sum is σ = 245050452864. Its totient is φ = 34261424064.

The previous prime is 100121101189. The next prime is 100121101253. The reversal of 100121101220 is 22101121001.

100121101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414869 + ... + 610211.

It is an arithmetic number, because the mean of its divisors is an integer number (3403478512).

Almost surely, 2^100121101220 is an apocalyptic number.

100121101220 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 100121101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122525226432).

100121101220 is an abundant number, since it is smaller than the sum of its proper divisors (144929351644).

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

100121101220 is a wasteful number, since it uses less digits than its factorization.

100121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195889 (or 195880 counting only the distinct ones).

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

Adding to 100121101220 its reverse (22101121001), we get a palindrome (122222222221).

The spelling of 100121101220 in words is "one hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".