10201003102120 has 32 divisors (see below), whose sum is σ = 22955017408200. Its totient is φ = 4079910498048.

The previous prime is 10201003102097. The next prime is 10201003102123. The reversal of 10201003102120 is 2120130010201.

It can be written as a sum of positive squares in 4 ways, for example, as 9994285567876 + 206717534244 = 3161374^2 + 454662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10201003102120.

It is not an unprimeable number, because it can be changed into a prime (10201003102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14998875 + ... + 15664234.

Almost surely, 2^{10201003102120} is an apocalyptic number.

10201003102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201003102120 is an abundant number, since it is smaller than the sum of its proper divisors (12754014306080).

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

10201003102120 is a wasteful number, since it uses less digits than its factorization.

10201003102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30671437 (or 30671433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10201003102120 its reverse (2120130010201), we get a palindrome (12321133112321).

The spelling of 10201003102120 in words is "ten trillion, two hundred one billion, three million, one hundred two thousand, one hundred twenty".