101753330380800 has 936 divisors, whose sum is σ = 414371124439056. Its totient is φ = 21889737031680.

The previous prime is 101753330380799. The next prime is 101753330380861. The reversal of 101753330380800 is 8083033357101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255698784 + ... + 256096416.

Almost surely, 2^{101753330380800} is an apocalyptic number.

101753330380800 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 101753330380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207185562219528).

101753330380800 is an abundant number, since it is smaller than the sum of its proper divisors (312617794058256).

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

101753330380800 is a wasteful number, since it uses less digits than its factorization.

101753330380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397701 (or 397667 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 101753330380800 in words is "one hundred one trillion, seven hundred fifty-three billion, three hundred thirty million, three hundred eighty thousand, eight hundred".