10231200213201 has 24 divisors (see below), whose sum is σ = 16121993010240. Its totient is φ = 6200688261600.

The previous prime is 10231200213173. The next prime is 10231200213239.

10231200213201 is a `hidden beast` number, since 1 + 0 + 231 + 20 + 0 + 213 + 201 = 666.

10231200213201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10231200213201 - 2⁶ = 10231200213137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10231200214201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26640420 + ... + 27021738.

It is an arithmetic number, because the mean of its divisors is an integer number (671749708760).

Almost surely, 2^{10231200213201} is an apocalyptic number.

10231200213201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231200213201 is a deficient number, since it is larger than the sum of its proper divisors (5890792797039).

10231200213201 is a wasteful number, since it uses less digits than its factorization.

10231200213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652357 (or 652354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 10231200 and 213201, that added together give a palindrome (10444401).

The spelling of 10231200213201 in words is "ten trillion, two hundred thirty-one billion, two hundred million, two hundred thirteen thousand, two hundred one".