21100100200101 has 72 divisors (see below), whose sum is σ = 34668505333280. Its totient is φ = 12259178243712.

The previous prime is 21100100200061. The next prime is 21100100200169. The reversal of 21100100200101 is 10100200100112.

It is a happy number.

It is not a de Polignac number, because 21100100200101 - 2¹⁴ = 21100100183717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100100201101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190787046 + ... + 190897608.

Almost surely, 2^{21100100200101} is an apocalyptic number.

It is an amenable number.

21100100200101 is a deficient number, since it is larger than the sum of its proper divisors (13568405133179).

21100100200101 is a wasteful number, since it uses less digits than its factorization.

21100100200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111187 (or 110891 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21100100200101 its reverse (10100200100112), we get a palindrome (31200300300213).

The spelling of 21100100200101 in words is "twenty-one trillion, one hundred billion, one hundred million, two hundred thousand, one hundred one".