21122122101201 has 60 divisors (see below), whose sum is σ = 34994774601072. Its totient is φ = 12591426996000.

The previous prime is 21122122101181. The next prime is 21122122101253. The reversal of 21122122101201 is 10210122122112.

21122122101201 is a `hidden beast` number, since 21 + 1 + 221 + 221 + 0 + 1 + 201 = 666.

It is not a de Polignac number, because 21122122101201 - 2¹⁷ = 21122121970129 is a prime.

It is a super-2 number, since 2×21122122101201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122102101201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 129966 + ... + 6500856.

Almost surely, 2^{21122122101201} is an apocalyptic number.

It is an amenable number.

21122122101201 is a deficient number, since it is larger than the sum of its proper divisors (13872652499871).

21122122101201 is an equidigital number, since it uses as much as digits as its factorization.

21122122101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371036 (or 6370966 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122122101201 its reverse (10210122122112), we get a palindrome (31332244223313).

The spelling of 21122122101201 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, two hundred one".