10201001120 has 48 divisors (see below), whose sum is σ = 24348354408. Its totient is φ = 4038328320.

The previous prime is 10201001117. The next prime is 10201001141. The reversal of 10201001120 is 2110010201.

It can be written as a sum of positive squares in 4 ways, for example, as 6706299664 + 3494701456 = 81892^2 + 59116^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10201001098 and 10201001107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313121 + ... + 344160.

Almost surely, 2^10201001120 is an apocalyptic number.

10201001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001120 is an abundant number, since it is smaller than the sum of its proper divisors (14147353288).

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

10201001120 is an equidigital number, since it uses as much as digits as its factorization.

10201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657393 (or 657385 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10201001120 its reverse (2110010201), we get a palindrome (12311011321).

The spelling of 10201001120 in words is "ten billion, two hundred one million, one thousand, one hundred twenty".