101820676492800 has 720 divisors, whose sum is σ = 400112625184272. Its totient is φ = 25554980044800.

The previous prime is 101820676492771. The next prime is 101820676492819. The reversal of 101820676492800 is 8294676028101.

It is a happy number.

101820676492800 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 0 + 6 + 76 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×101820676492800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 51913990 + ... + 53839610.

Almost surely, 2^{101820676492800} is an apocalyptic number.

101820676492800 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 101820676492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200056312592136).

101820676492800 is an abundant number, since it is smaller than the sum of its proper divisors (298291948691472).

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

101820676492800 is an equidigital number, since it uses as much as digits as its factorization.

101820676492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925681 (or 1925648 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 101820676492800 in words is "one hundred one trillion, eight hundred twenty billion, six hundred seventy-six million, four hundred ninety-two thousand, eight hundred".