10200120200201 has 16 divisors (see below), whose sum is σ = 10557203428800. Its totient is φ = 9849403806528.

The previous prime is 10200120200177. The next prime is 10200120200239. The reversal of 10200120200201 is 10200202100201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200120200201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200120200401) 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, 2642990 + ... + 5233128.

It is an arithmetic number, because the mean of its divisors is an integer number (659825214300).

Almost surely, 2^{10200120200201} is an apocalyptic number.

It is an amenable number.

10200120200201 is a deficient number, since it is larger than the sum of its proper divisors (357083228599).

10200120200201 is a wasteful number, since it uses less digits than its factorization.

10200120200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591368.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200120200201 its reverse (10200202100201), we get a palindrome (20400322300402).

The spelling of 10200120200201 in words is "ten trillion, two hundred billion, one hundred twenty million, two hundred thousand, two hundred one".