101675042380800 has 3960 divisors, whose sum is σ = 458936848652832. Its totient is φ = 21771406540800.

The previous prime is 101675042380787. The next prime is 101675042380841. The reversal of 101675042380800 is 8083240576101.

101675042380800 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 75 + 0 + 423 + 80 + 80 + 0 = 666.

It is a super-2 number, since 2×101675042380800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 516116966302 + ... + 516116966498.

Almost surely, 2^{101675042380800} is an apocalyptic number.

101675042380800 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 101675042380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229468424326416).

101675042380800 is an abundant number, since it is smaller than the sum of its proper divisors (357261806272032).

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

101675042380800 is a wasteful number, since it uses less digits than its factorization.

101675042380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 101675042380800 in words is "one hundred one trillion, six hundred seventy-five billion, forty-two million, three hundred eighty thousand, eight hundred".