10201113120 has 576 divisors, whose sum is σ = 37413508608. Its totient is φ = 2331648000.

The previous prime is 10201113113. The next prime is 10201113179. The reversal of 10201113120 is 2131110201.

It is a super-2 number, since 2×10201113120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201113096 and 10201113105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101001070 + ... + 101001170.

It is an arithmetic number, because the mean of its divisors is an integer number (64954008).

Almost surely, 2^10201113120 is an apocalyptic number.

10201113120 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 10201113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706754304).

10201113120 is an abundant number, since it is smaller than the sum of its proper divisors (27212395488).

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

10201113120 is a wasteful number, since it uses less digits than its factorization.

10201113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10201113120 its reverse (2131110201), we get a palindrome (12332223321).

It can be divided in two parts, 10201 and 113120, that added together give a palindrome (123321).

The spelling of 10201113120 in words is "ten billion, two hundred one million, one hundred thirteen thousand, one hundred twenty".