21021101022101 has 16 divisors (see below), whose sum is σ = 21727032391680. Its totient is φ = 20316914415360.

The previous prime is 21021101022091. The next prime is 21021101022109. The reversal of 21021101022101 is 10122010112012.

It is a cyclic number.

It is not a de Polignac number, because 21021101022101 - 2³⁰ = 21020027280277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021101022109) 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 15 ways as a sum of consecutive naturals, for example, 272033396 + ... + 272110658.

It is an arithmetic number, because the mean of its divisors is an integer number (1357939524480).

Almost surely, 2^{21021101022101} is an apocalyptic number.

It is an amenable number.

21021101022101 is a deficient number, since it is larger than the sum of its proper divisors (705931369579).

21021101022101 is a wasteful number, since it uses less digits than its factorization.

21021101022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88436.

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

Adding to 21021101022101 its reverse (10122010112012), we get a palindrome (31143111134113).

The spelling of 21021101022101 in words is "twenty-one trillion, twenty-one billion, one hundred one million, twenty-two thousand, one hundred one".