101261252316 has 96 divisors (see below), whose sum is σ = 274124032000. Its totient is φ = 28494955008.

The previous prime is 101261252219. The next prime is 101261252321. The reversal of 101261252316 is 613252162101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2695470 + ... + 2732778.

Almost surely, 2^101261252316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101261252316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137062016000).

101261252316 is an abundant number, since it is smaller than the sum of its proper divisors (172862779684).

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

101261252316 is a wasteful number, since it uses less digits than its factorization.

101261252316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37811 (or 37809 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101261252316 in words is "one hundred one billion, two hundred sixty-one million, two hundred fifty-two thousand, three hundred sixteen".