21201102102121 has 16 divisors (see below), whose sum is σ = 22359730593600. Its totient is φ = 20046774067200.

The previous prime is 21201102102109. The next prime is 21201102102181. The reversal of 21201102102121 is 12120120110212.

It is a cyclic number.

It is not a de Polignac number, because 21201102102121 - 2²⁵ = 21201068547689 is a prime.

It is a super-2 number, since 2×21201102102121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21201102102095 and 21201102102104.

It is not an unprimeable number, because it can be changed into a prime (21201102102181) 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, 34023841 + ... + 34641361.

It is an arithmetic number, because the mean of its divisors is an integer number (1397483162100).

Almost surely, 2^{21201102102121} is an apocalyptic number.

It is an amenable number.

21201102102121 is a deficient number, since it is larger than the sum of its proper divisors (1158628491479).

21201102102121 is a wasteful number, since it uses less digits than its factorization.

21201102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621000.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21201102102121 its reverse (12120120110212), we get a palindrome (33321222212333).

The spelling of 21201102102121 in words is "twenty-one trillion, two hundred one billion, one hundred two million, one hundred two thousand, one hundred twenty-one".