10201001113120 has 48 divisors (see below), whose sum is σ = 24165532476288. Its totient is φ = 4069282164480.

The previous prime is 10201001113097. The next prime is 10201001113133. The reversal of 10201001113120 is 2131110010201.

It is a happy number.

It is a super-2 number, since 2×10201001113120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10201001113120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86802666 + ... + 86920105.

It is an arithmetic number, because the mean of its divisors is an integer number (503448593256).

Almost surely, 2^{10201001113120} is an apocalyptic number.

10201001113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001113120 is an abundant number, since it is smaller than the sum of its proper divisors (13964531363168).

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

10201001113120 is a wasteful number, since it uses less digits than its factorization.

10201001113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173723153 (or 173723145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10201001113120 its reverse (2131110010201), we get a palindrome (12332111123321).

The spelling of 10201001113120 in words is "ten trillion, two hundred one billion, one million, one hundred thirteen thousand, one hundred twenty".