21122212300101 has 16 divisors (see below), whose sum is σ = 34136908768320. Its totient is φ = 12801340787760.

The previous prime is 21122212300087. The next prime is 21122212300151. The reversal of 21122212300101 is 10100321222112.

21122212300101 is a `hidden beast` number, since 2 + 112 + 221 + 230 + 0 + 101 = 666.

It is not a de Polignac number, because 21122212300101 - 2¹⁴ = 21122212283717 is a prime.

It is a super-2 number, since 2×21122212300101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122212300151) 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, 35559279670 + ... + 35559280263.

It is an arithmetic number, because the mean of its divisors is an integer number (2133556798020).

Almost surely, 2^{21122212300101} is an apocalyptic number.

It is an amenable number.

21122212300101 is a deficient number, since it is larger than the sum of its proper divisors (13014696468219).

21122212300101 is a wasteful number, since it uses less digits than its factorization.

21122212300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71118559953 (or 71118559947 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21122212300101 its reverse (10100321222112), we get a palindrome (31222533522213).

The spelling of 21122212300101 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, three hundred thousand, one hundred one".