10202112120 has 128 divisors (see below), whose sum is σ = 31877245440. Its totient is φ = 2609671680.

The previous prime is 10202112113. The next prime is 10202112133. The reversal of 10202112120 is 2121120201.

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 = 10202112096 and 10202112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299059 + ... + 331421.

It is an arithmetic number, because the mean of its divisors is an integer number (249040980).

Almost surely, 2^10202112120 is an apocalyptic number.

10202112120 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 10202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938622720).

10202112120 is an abundant number, since it is smaller than the sum of its proper divisors (21675133320).

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

10202112120 is a wasteful number, since it uses less digits than its factorization.

10202112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32485 (or 32481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202112120 its reverse (2121120201), we get a palindrome (12323232321).

The spelling of 10202112120 in words is "ten billion, two hundred two million, one hundred twelve thousand, one hundred twenty".