10201120120 has 16 divisors (see below), whose sum is σ = 22952520360. Its totient is φ = 4080448032.

The previous prime is 10201120109. The next prime is 10201120133. The reversal of 10201120120 is 2102110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201120097 and 10201120106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127513962 + ... + 127514041.

Almost surely, 2^10201120120 is an apocalyptic number.

10201120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201120120 is an abundant number, since it is smaller than the sum of its proper divisors (12751400240).

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

10201120120 is a wasteful number, since it uses less digits than its factorization.

10201120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255028014 (or 255028010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201120120 its reverse (2102110201), we get a palindrome (12303230321).

It can be divided in two parts, 10201 and 120120, that added together give a 4-th power (130321 = 19⁴).

The spelling of 10201120120 in words is "ten billion, two hundred one million, one hundred twenty thousand, one hundred twenty".