210100100100101 has 4 divisors (see below), whose sum is σ = 222458929517772. Its totient is φ = 197741270682432.

The previous prime is 210100100099969. The next prime is 210100100100131. The reversal of 210100100100101 is 101001001001012.

It is a happy number.

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 159927032043076 + 50173068057025 = 12646226^2 + 7083295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210100100100101 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 (210100100100131) 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, 6179414708810 + ... + 6179414708843.

It is an arithmetic number, because the mean of its divisors is an integer number (55614732379443).

Almost surely, 2^{210100100100101} is an apocalyptic number.

It is an amenable number.

210100100100101 is a deficient number, since it is larger than the sum of its proper divisors (12358829417671).

210100100100101 is a wasteful number, since it uses less digits than its factorization.

210100100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358829417670.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 210100100100101 its reverse (101001001001012), we get a palindrome (311101101101113).

It can be divided in two parts, 2 and 10100100100101, that multiplied together give a palindrome (20200200200202).

The spelling of 210100100100101 in words is "two hundred ten trillion, one hundred billion, one hundred million, one hundred thousand, one hundred one".