100011570020352 has 1200 divisors, whose sum is σ = 316524816115200. Its totient is φ = 31425044152320.

The previous prime is 100011570020321. The next prime is 100011570020393. The reversal of 100011570020352 is 253020075110001.

100011570020352 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 570 + 0 + 20 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418458451849 + ... + 418458452087.

It is an arithmetic number, because the mean of its divisors is an integer number (263770680096).

Almost surely, 2^{100011570020352} is an apocalyptic number.

100011570020352 is a gapful number since it is divisible by the number (12) 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 100011570020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158262408057600).

100011570020352 is an abundant number, since it is smaller than the sum of its proper divisors (216513246094848).

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

100011570020352 is an equidigital number, since it uses as much as digits as its factorization.

100011570020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 100011570020352 in words is "one hundred trillion, eleven billion, five hundred seventy million, twenty thousand, three hundred fifty-two".