252101101252 has 96 divisors (see below), whose sum is σ = 592519302144. Its totient is φ = 90639734400.

The previous prime is 252101101243. The next prime is 252101101253.

It is a happy number.

252101101252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (252101101253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18904227 + ... + 18917557.

It is an arithmetic number, because the mean of its divisors is an integer number (6172076064).

Almost surely, 2^252101101252 is an apocalyptic number.

252101101252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252101101252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296259651072).

252101101252 is an abundant number, since it is smaller than the sum of its proper divisors (340418200892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252101101252 is a wasteful number, since it uses less digits than its factorization.

252101101252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18089 (or 18087 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

It can be divided in two parts, 252101 and 101252, that added together give a palindrome (353353).

The spelling of 252101101252 in words is "two hundred fifty-two billion, one hundred one million, one hundred one thousand, two hundred fifty-two".