21211122110101 has 64 divisors (see below), whose sum is σ = 27181354291200. Its totient is φ = 16074209088000.

The previous prime is 21211122110077. The next prime is 21211122110137. The reversal of 21211122110101 is 10101122111212.

It is not a de Polignac number, because 21211122110101 - 2⁴³ = 12415029087893 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 (21211122110161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591430696 + ... + 591466558.

It is an arithmetic number, because the mean of its divisors is an integer number (424708660800).

Almost surely, 2^{21211122110101} is an apocalyptic number.

It is an amenable number.

21211122110101 is a deficient number, since it is larger than the sum of its proper divisors (5970232181099).

21211122110101 is a wasteful number, since it uses less digits than its factorization.

21211122110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37330.

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

Adding to 21211122110101 its reverse (10101122111212), we get a palindrome (31312244221313).

The spelling of 21211122110101 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".