21122103133201 has 20 divisors (see below), whose sum is σ = 24978535434212. Its totient is φ = 17856650641536.

The previous prime is 21122103133169. The next prime is 21122103133207. The reversal of 21122103133201 is 10233130122112.

It can be written as a sum of positive squares in 2 ways, for example, as 15520834243201 + 5601268890000 = 3939649^2 + 2366700^2 .

It is not a de Polignac number, because 21122103133201 - 2⁵ = 21122103133169 is a prime.

It is a super-2 number, since 2×21122103133201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122103133207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60079596 + ... + 60430141.

Almost surely, 2^{21122103133201} is an apocalyptic number.

It is an amenable number.

21122103133201 is a deficient number, since it is larger than the sum of its proper divisors (3856432301011).

21122103133201 is an frugal number, since it uses more digits than its factorization.

21122103133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120509838 (or 120509817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21122103133201 its reverse (10233130122112), we get a palindrome (31355233255313).

The spelling of 21122103133201 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred three million, one hundred thirty-three thousand, two hundred one".