21101022100121 has 4 divisors (see below), whose sum is σ = 21102932224512. Its totient is φ = 21099111975732.

The previous prime is 21101022100117. The next prime is 21101022100129. The reversal of 21101022100121 is 12100122010112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 21101022100121 - 2² = 21101022100117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21101022100096 and 21101022100105.

It is not an unprimeable number, because it can be changed into a prime (21101022100129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 955045625 + ... + 955067718.

It is an arithmetic number, because the mean of its divisors is an integer number (5275733056128).

Almost surely, 2^{21101022100121} is an apocalyptic number.

It is an amenable number.

21101022100121 is a deficient number, since it is larger than the sum of its proper divisors (1910124391).

21101022100121 is a wasteful number, since it uses less digits than its factorization.

21101022100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910124390.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21101022100121 its reverse (12100122010112), we get a palindrome (33201144110233).

Subtracting from 21101022100121 its reverse (12100122010112), we obtain a palindrome (9000900090009).

The spelling of 21101022100121 in words is "twenty-one trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred twenty-one".