101661635712 has 512 divisors, whose sum is σ = 347202777600. Its totient is φ = 25639649280.

The previous prime is 101661635711. The next prime is 101661635729. The reversal of 101661635712 is 217536166101.

101661635712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (101661635711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78867964 + ... + 78869252.

It is an arithmetic number, because the mean of its divisors is an integer number (678130425).

Almost surely, 2^101661635712 is an apocalyptic number.

101661635712 is a gapful number since it is divisible by the number (12) 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 101661635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601388800).

101661635712 is an abundant number, since it is smaller than the sum of its proper divisors (245541141888).

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

101661635712 is a wasteful number, since it uses less digits than its factorization.

101661635712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 101661635712 in words is "one hundred one billion, six hundred sixty-one million, six hundred thirty-five thousand, seven hundred twelve".