21122000110101 has 48 divisors (see below), whose sum is σ = 31137186769920. Its totient is φ = 12726228028800.

The previous prime is 21122000110097. The next prime is 21122000110157. The reversal of 21122000110101 is 10101100022112.

It is not a de Polignac number, because 21122000110101 - 2² = 21122000110097 is a prime.

It is a super-2 number, since 2×21122000110101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122000110181) 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 47 ways as a sum of consecutive naturals, for example, 111739695 + ... + 111928563.

It is an arithmetic number, because the mean of its divisors is an integer number (648691391040).

Almost surely, 2^{21122000110101} is an apocalyptic number.

It is an amenable number.

21122000110101 is a deficient number, since it is larger than the sum of its proper divisors (10015186659819).

21122000110101 is a wasteful number, since it uses less digits than its factorization.

21122000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190698 (or 190687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21122000110101 its reverse (10101100022112), we get a palindrome (31223100132213).

The spelling of 21122000110101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten thousand, one hundred one".