21102200122101 has 24 divisors (see below), whose sum is σ = 33785747668224. Its totient is φ = 11669419419840.

The previous prime is 21102200122079. The next prime is 21102200122127. The reversal of 21102200122101 is 10122100220112.

It is not a de Polignac number, because 21102200122101 - 2³¹ = 21100052638453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102200122141) 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 23 ways as a sum of consecutive naturals, for example, 2315356440 + ... + 2315365553.

It is an arithmetic number, because the mean of its divisors is an integer number (1407739486176).

Almost surely, 2^{21102200122101} is an apocalyptic number.

21102200122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102200122101 is a deficient number, since it is larger than the sum of its proper divisors (12683547546123).

21102200122101 is a wasteful number, since it uses less digits than its factorization.

21102200122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630722041 (or 4630722034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21102200122101 its reverse (10122100220112), we get a palindrome (31224300342213).

The spelling of 21102200122101 in words is "twenty-one trillion, one hundred two billion, two hundred million, one hundred twenty-two thousand, one hundred one".