23251101144201 has 72 divisors (see below), whose sum is σ = 39279769615944. Its totient is φ = 13214430512640.

The previous prime is 23251101144157. The next prime is 23251101144233. The reversal of 23251101144201 is 10244110115232.

23251101144201 is a `hidden beast` number, since 2 + 3 + 2 + 511 + 0 + 1 + 144 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19581501159801 + 3669599984400 = 4425099^2 + 1915620^2 .

It is not a de Polignac number, because 23251101144201 - 2⁶ = 23251101144137 is a prime.

It is a super-2 number, since 2×23251101144201² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23251101144281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265886781 + ... + 265974213.

It is an arithmetic number, because the mean of its divisors is an integer number (545552355777).

Almost surely, 2^{23251101144201} is an apocalyptic number.

23251101144201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23251101144201 is a deficient number, since it is larger than the sum of its proper divisors (16028668471743).

23251101144201 is a wasteful number, since it uses less digits than its factorization.

23251101144201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90711 (or 90701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 23251101144201 its reverse (10244110115232), we get a palindrome (33495211259433).

The spelling of 23251101144201 in words is "twenty-three trillion, two hundred fifty-one billion, one hundred one million, one hundred forty-four thousand, two hundred one".