101220789574800 has 960 divisors, whose sum is σ = 415235251814400. Its totient is φ = 22940257536000.

The previous prime is 101220789574769. The next prime is 101220789574841. The reversal of 101220789574800 is 8475987022101.

101220789574800 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 0 + 78 + 95 + 7 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6358481241 + ... + 6358497159.

It is an arithmetic number, because the mean of its divisors is an integer number (432536720640).

Almost surely, 2^{101220789574800} is an apocalyptic number.

101220789574800 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 101220789574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207617625907200).

101220789574800 is an abundant number, since it is smaller than the sum of its proper divisors (314014462239600).

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

101220789574800 is a wasteful number, since it uses less digits than its factorization.

101220789574800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661 (or 16644 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 101220789574800 in words is "one hundred one trillion, two hundred twenty billion, seven hundred eighty-nine million, five hundred seventy-four thousand, eight hundred".