10211020102001 has 4 divisors (see below), whose sum is σ = 10211029712100. Its totient is φ = 10211010491904.

The previous prime is 10211020101991. The next prime is 10211020102007. The reversal of 10211020102001 is 10020102011201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7057927368976 + 3153092733025 = 2656676^2 + 1775695^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211020102001 - 2⁶ = 10211020101937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211020102007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2980256 + ... + 5413313.

It is an arithmetic number, because the mean of its divisors is an integer number (2552757428025).

Almost surely, 2^{10211020102001} is an apocalyptic number.

It is an amenable number.

10211020102001 is a deficient number, since it is larger than the sum of its proper divisors (9610099).

10211020102001 is an equidigital number, since it uses as much as digits as its factorization.

10211020102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610098.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211020102001 its reverse (10020102011201), we get a palindrome (20231122113202).

The spelling of 10211020102001 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred two thousand, one".