21100202102101 has 16 divisors (see below), whose sum is σ = 21643593648768. Its totient is φ = 20558185804800.

The previous prime is 21100202102069. The next prime is 21100202102107. The reversal of 21100202102101 is 10120120200112.

It is a cyclic number.

It is not a de Polignac number, because 21100202102101 - 2⁵ = 21100202102069 is a prime.

It is a super-2 number, since 2×21100202102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100202102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320829061 + ... + 320894821.

It is an arithmetic number, because the mean of its divisors is an integer number (1352724603048).

Almost surely, 2^{21100202102101} is an apocalyptic number.

It is an amenable number.

21100202102101 is a deficient number, since it is larger than the sum of its proper divisors (543391546667).

21100202102101 is an equidigital number, since it uses as much as digits as its factorization.

21100202102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76092.

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

Adding to 21100202102101 its reverse (10120120200112), we get a palindrome (31220322302213).

The spelling of 21100202102101 in words is "twenty-one trillion, one hundred billion, two hundred two million, one hundred two thousand, one hundred one".