202012100010001 has 16 divisors (see below), whose sum is σ = 202851568310400. Its totient is φ = 201173556965760.

The previous prime is 202012100009983. The next prime is 202012100010059. The reversal of 202012100010001 is 100010001210202.

202012100010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202012100010001 - 2¹¹ = 202012100007953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202012100010001.

It is not an unprimeable number, because it can be changed into a prime (202012100010701) 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, 3104836596 + ... + 3104901658.

It is an arithmetic number, because the mean of its divisors is an integer number (12678223019400).

Almost surely, 2^{202012100010001} is an apocalyptic number.

It is an amenable number.

202012100010001 is a deficient number, since it is larger than the sum of its proper divisors (839468300399).

202012100010001 is a wasteful number, since it uses less digits than its factorization.

202012100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71976.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202012100010001 its reverse (100010001210202), we get a palindrome (302022101220203).

The spelling of 202012100010001 in words is "two hundred two trillion, twelve billion, one hundred million, ten thousand, one".