10100001120 has 96 divisors (see below), whose sum is σ = 34707294720. Its totient is φ = 2448483840.

The previous prime is 10100001103. The next prime is 10100001137. The reversal of 10100001120 is 2110000101.

It is an interprime number because it is at equal distance from previous prime (10100001103) and next prime (10100001137).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10100001099 and 10100001108.

It is a congruent number.

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, 951160 + ... + 961719.

It is an arithmetic number, because the mean of its divisors is an integer number (361534320).

Almost surely, 2^10100001120 is an apocalyptic number.

10100001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001120 is an abundant number, since it is smaller than the sum of its proper divisors (24607293600).

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

10100001120 is a wasteful number, since it uses less digits than its factorization.

10100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912908 (or 1912900 counting only the distinct ones).

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

Adding to 10100001120 its reverse (2110000101), we get a palindrome (12210001221).

The spelling of 10100001120 in words is "ten billion, one hundred million, one thousand, one hundred twenty".