10000101120 has 144 divisors (see below), whose sum is σ = 31981421472. Its totient is φ = 2663055360.

The previous prime is 10000101119. The next prime is 10000101149. The reversal of 10000101120 is 2110100001.

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 = 10000101099 and 10000101108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3965460 + ... + 3967980.

Almost surely, 2^10000101120 is an apocalyptic number.

10000101120 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 10000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990710736).

10000101120 is an abundant number, since it is smaller than the sum of its proper divisors (21981320352).

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

10000101120 is a wasteful number, since it uses less digits than its factorization.

10000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3564 counting only the distinct ones).

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

Adding to 10000101120 its reverse (2110100001), we get a palindrome (12110201121).

The spelling of 10000101120 in words is "ten billion, one hundred one thousand, one hundred twenty".