21100110010101 has 6 divisors (see below), whose sum is σ = 30477936681270. Its totient is φ = 14066740006728.

The previous prime is 21100110010087. The next prime is 21100110010151. The reversal of 21100110010101 is 10101001100112.

It can be written as a sum of positive squares in only one way, i.e., 18410329607076 + 2689780403025 = 4290726^2 + 1640055^2 .

It is not a de Polignac number, because 21100110010101 - 2²⁵ = 21100076455669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2344456667789 = 21100110010101 / (2 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100110010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172228333886 + ... + 1172228333903.

It is an arithmetic number, because the mean of its divisors is an integer number (5079656113545).

Almost surely, 2^{21100110010101} is an apocalyptic number.

It is an amenable number.

21100110010101 is a deficient number, since it is larger than the sum of its proper divisors (9377826671169).

21100110010101 is a wasteful number, since it uses less digits than its factorization.

21100110010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344456667795 (or 2344456667792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21100110010101 its reverse (10101001100112), we get a palindrome (31201111110213).

The spelling of 21100110010101 in words is "twenty-one trillion, one hundred billion, one hundred ten million, ten thousand, one hundred one".