101403657511772 has 96 divisors (see below), whose sum is σ = 221734956957696. Its totient is φ = 39420321969600.

The previous prime is 101403657511703. The next prime is 101403657511813. The reversal of 101403657511772 is 277115756304101.

It is a self number, because there is not a number n which added to its sum of digits gives 101403657511772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3332233397 + ... + 3332263827.

It is an arithmetic number, because the mean of its divisors is an integer number (2309739134976).

Almost surely, 2^{101403657511772} 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 101403657511772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110867478478848).

101403657511772 is an abundant number, since it is smaller than the sum of its proper divisors (120331299445924).

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

101403657511772 is a wasteful number, since it uses less digits than its factorization.

101403657511772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54087 (or 54085 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 50.

The spelling of 101403657511772 in words is "one hundred one trillion, four hundred three billion, six hundred fifty-seven million, five hundred eleven thousand, seven hundred seventy-two".