102012040210201 has 27 divisors (see below), whose sum is σ = 113262574966527. Its totient is φ = 91809918090000.

The previous prime is 102012040210163. The next prime is 102012040210229.

The square root of 102012040210201 is 10100101.

It is a perfect power (a square), and thus also a powerful number.

102012040210201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 98011960209801 + 4000080000400 = 9900099^2 + 2000020^2 .

It is not a de Polignac number, because 102012040210201 - 2⁹ = 102012040209689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012040210291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11221207666 + ... + 11221216756.

Almost surely, 2^{102012040210201} is an apocalyptic number.

102012040210201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102012040210201 is the 10100101-st square number.

102012040210201 is the 5050051-st centered octagonal number.

It is an amenable number.

102012040210201 is a deficient number, since it is larger than the sum of its proper divisors (11250534756326).

102012040210201 is an frugal number, since it uses more digits than its factorization.

102012040210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18406 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10201 and 2040210201, that added together give a palindrome (2040220402).

The spelling of 102012040210201 in words is "one hundred two trillion, twelve billion, forty million, two hundred ten thousand, two hundred one".