21022112112101 has 2 divisors, whose sum is σ = 21022112112102. Its totient is φ = 21022112112100.

The previous prime is 21022112112059. The next prime is 21022112112139. The reversal of 21022112112101 is 10121121122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19533297283201 + 1488814828900 = 4419649^2 + 1220170^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022112112101 - 2¹⁴ = 21022112095717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21022112112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21022112115101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10511056056050 + 10511056056051.

It is an arithmetic number, because the mean of its divisors is an integer number (10511056056051).

Almost surely, 2^{21022112112101} is an apocalyptic number.

It is an amenable number.

21022112112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022112112101 is an equidigital number, since it uses as much as digits as its factorization.

21022112112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21022112112101 its reverse (10121121122012), we get a palindrome (31143233234113).

The spelling of 21022112112101 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred one".