21101101010121 has 16 divisors (see below), whose sum is σ = 30697314828480. Its totient is φ = 12786544288320.

The previous prime is 21101101010111. The next prime is 21101101010149. The reversal of 21101101010121 is 12101010110112.

It is not a de Polignac number, because 21101101010121 - 2¹⁰ = 21101101009097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101101010097 and 21101101010106.

It is not an unprimeable number, because it can be changed into a prime (21101101010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49830430 + ... + 50252103.

It is an arithmetic number, because the mean of its divisors is an integer number (1918582176780).

Almost surely, 2^{21101101010121} is an apocalyptic number.

It is an amenable number.

21101101010121 is a deficient number, since it is larger than the sum of its proper divisors (9596213818359).

21101101010121 is a wasteful number, since it uses less digits than its factorization.

21101101010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100088936.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21101101010121 its reverse (12101010110112), we get a palindrome (33202111120233).

Subtracting from 21101101010121 its reverse (12101010110112), we obtain a palindrome (9000090900009).

The spelling of 21101101010121 in words is "twenty-one trillion, one hundred one billion, one hundred one million, ten thousand, one hundred twenty-one".