101115981742800 has 120 divisors (see below), whose sum is σ = 325780497222624. Its totient is φ = 26808398958080.

The previous prime is 101115981742793. The next prime is 101115981742817. The reversal of 101115981742800 is 8247189511101.

101115981742800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101115981742800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243328002 + ... + 243743201.

Almost surely, 2^{101115981742800} is an apocalyptic number.

101115981742800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101115981742800 is an abundant number, since it is smaller than the sum of its proper divisors (224664515479824).

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

101115981742800 is a wasteful number, since it uses less digits than its factorization.

101115981742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487071397 (or 487071386 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 48.

The spelling of 101115981742800 in words is "one hundred one trillion, one hundred fifteen billion, nine hundred eighty-one million, seven hundred forty-two thousand, eight hundred".