10201011022120 has 64 divisors (see below), whose sum is σ = 23019354385920. Its totient is φ = 4068483546624.

The previous prime is 10201011022099. The next prime is 10201011022123. The reversal of 10201011022120 is 2122011010201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201011022120.

It is not an unprimeable number, because it can be changed into a prime (10201011022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77341749 + ... + 77473531.

It is an arithmetic number, because the mean of its divisors is an integer number (359677412280).

Almost surely, 2^{10201011022120} is an apocalyptic number.

10201011022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201011022120 is an abundant number, since it is smaller than the sum of its proper divisors (12818343363800).

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

10201011022120 is a wasteful number, since it uses less digits than its factorization.

10201011022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137434 (or 137430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201011022120 its reverse (2122011010201), we get a palindrome (12323022032321).

The spelling of 10201011022120 in words is "ten trillion, two hundred one billion, eleven million, twenty-two thousand, one hundred twenty".