101894322811680 has 192 divisors, whose sum is σ = 407577291367680. Its totient is φ = 23290130921472.

The previous prime is 101894322811559. The next prime is 101894322811681. The reversal of 101894322811680 is 86118223498101.

101894322811680 is a `hidden beast` number, since 1 + 0 + 1 + 89 + 4 + 322 + 81 + 168 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101894322811681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684730389 + ... + 1684790868.

It is an arithmetic number, because the mean of its divisors is an integer number (2122798392540).

Almost surely, 2^{101894322811680} is an apocalyptic number.

101894322811680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101894322811680 is an abundant number, since it is smaller than the sum of its proper divisors (305682968556000).

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

101894322811680 is a wasteful number, since it uses less digits than its factorization.

101894322811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369521288 (or 3369521274 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 101894322811680 in words is "one hundred one trillion, eight hundred ninety-four billion, three hundred twenty-two million, eight hundred eleven thousand, six hundred eighty".