100000101120 has 144 divisors (see below), whose sum is σ = 324611744352. Its totient is φ = 26229473280.

The previous prime is 100000101067. The next prime is 100000101151. The reversal of 100000101120 is 21101000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 100000101099 and 100000101108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20784 + ... + 447696.

Almost surely, 2^100000101120 is an apocalyptic number.

100000101120 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 100000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162305872176).

100000101120 is an abundant number, since it is smaller than the sum of its proper divisors (224611643232).

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

100000101120 is an equidigital number, since it uses as much as digits as its factorization.

100000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426998 (or 426984 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000101120 its reverse (21101000001), we get a palindrome (121101101121).

The spelling of 100000101120 in words is "one hundred billion, one hundred one thousand, one hundred twenty".