10100202212101 has 4 divisors (see below), whose sum is σ = 10100214153100. Its totient is φ = 10100190271104.

The previous prime is 10100202212077. The next prime is 10100202212167. The reversal of 10100202212101 is 10121220200101.

10100202212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8691824276100 + 1408377936001 = 2948190^2 + 1186751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202212101 - 2³⁵ = 10065842473733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100202212501) 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, 4596306 + ... + 6428563.

It is an arithmetic number, because the mean of its divisors is an integer number (2525053538275).

Almost surely, 2^{10100202212101} is an apocalyptic number.

It is an amenable number.

10100202212101 is a deficient number, since it is larger than the sum of its proper divisors (11940999).

10100202212101 is an equidigital number, since it uses as much as digits as its factorization.

10100202212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940998.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100202212101 its reverse (10121220200101), we get a palindrome (20221422412202).

The spelling of 10100202212101 in words is "ten trillion, one hundred billion, two hundred two million, two hundred twelve thousand, one hundred one".