101146855680 has 1728 divisors, whose sum is σ = 442769644800. Its totient is φ = 21658337280.

The previous prime is 101146855657. The next prime is 101146855687. The reversal of 101146855680 is 86558641101.

101146855680 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 6 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101146855687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2466996460 + ... + 2466996500.

Almost surely, 2^101146855680 is an apocalyptic number.

101146855680 is a gapful number since it is divisible by the number (10) 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 101146855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221384822400).

101146855680 is an abundant number, since it is smaller than the sum of its proper divisors (341622789120).

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

101146855680 is a wasteful number, since it uses less digits than its factorization.

101146855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 101146855680 in words is "one hundred one billion, one hundred forty-six million, eight hundred fifty-five thousand, six hundred eighty".