101191770768 has 640 divisors, whose sum is σ = 329996021760. Its totient is φ = 26320896000.

The previous prime is 101191770733. The next prime is 101191770773. The reversal of 101191770768 is 867077191101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738625996 + ... + 738626132.

It is an arithmetic number, because the mean of its divisors is an integer number (515618784).

Almost surely, 2^101191770768 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 101191770768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164998010880).

101191770768 is an abundant number, since it is smaller than the sum of its proper divisors (228804250992).

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

101191770768 is a wasteful number, since it uses less digits than its factorization.

101191770768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 48.

The spelling of 101191770768 in words is "one hundred one billion, one hundred ninety-one million, seven hundred seventy thousand, seven hundred sixty-eight".