21153441325201 has 8 divisors (see below), whose sum is σ = 22398248917224. Its totient is φ = 19908687901440.

The previous prime is 21153441325199. The next prime is 21153441325231. The reversal of 21153441325201 is 10252314435112.

It can be written as a sum of positive squares in 4 ways, for example, as 14796916248976 + 6356525076225 = 3846676^2 + 2521215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21153441325201 - 2¹ = 21153441325199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21153441325231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12736690 + ... + 14301403.

It is an arithmetic number, because the mean of its divisors is an integer number (2799781114653).

Almost surely, 2^{21153441325201} is an apocalyptic number.

It is an amenable number.

21153441325201 is a deficient number, since it is larger than the sum of its proper divisors (1244807592023).

21153441325201 is a wasteful number, since it uses less digits than its factorization.

21153441325201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084131.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 21153441325201 in words is "twenty-one trillion, one hundred fifty-three billion, four hundred forty-one million, three hundred twenty-five thousand, two hundred one".