10201200210201 has 64 divisors (see below), whose sum is σ = 18650848075776. Its totient is φ = 4787605958400.

The previous prime is 10201200210197. The next prime is 10201200210221.

10201200210201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201200210201 - 2² = 10201200210197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10201200210221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35997190 + ... + 36279471.

It is an arithmetic number, because the mean of its divisors is an integer number (291419501184).

Almost surely, 2^{10201200210201} is an apocalyptic number.

10201200210201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201200210201 is a deficient number, since it is larger than the sum of its proper divisors (8449647865575).

10201200210201 is a wasteful number, since it uses less digits than its factorization.

10201200210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72276742.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 10201200 and 210201, that added together give a palindrome (10411401).

The spelling of 10201200210201 in words is "ten trillion, two hundred one billion, two hundred million, two hundred ten thousand, two hundred one".