101441767252 has 18 divisors (see below), whose sum is σ = 206506455162. Its totient is φ = 43475043024.

The previous prime is 101441767249. The next prime is 101441767253. The reversal of 101441767252 is 252767144101.

101441767252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57775813956 + 43665953296 = 240366^2 + 208964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441767253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258779823 + ... + 258780214.

Almost surely, 2^101441767252 is an apocalyptic number.

It is an amenable number.

101441767252 is an abundant number, since it is smaller than the sum of its proper divisors (105064687910).

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

101441767252 is a wasteful number, since it uses less digits than its factorization.

101441767252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517560055 (or 517560046 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 101441767252 in words is "one hundred one billion, four hundred forty-one million, seven hundred sixty-seven thousand, two hundred fifty-two".