101675024023872 has 896 divisors, whose sum is σ = 318301542720000. Its totient is φ = 28529386389504.

The previous prime is 101675024023817. The next prime is 101675024023873. The reversal of 101675024023872 is 278320420576101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101675024023873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143406239454 + ... + 143406240162.

It is an arithmetic number, because the mean of its divisors is an integer number (355247257500).

Almost surely, 2^{101675024023872} is an apocalyptic number.

101675024023872 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 101675024023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159150771360000).

101675024023872 is an abundant number, since it is smaller than the sum of its proper divisors (216626518696128).

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

101675024023872 is a wasteful number, since it uses less digits than its factorization.

101675024023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

Adding to 101675024023872 its reverse (278320420576101), we get a palindrome (379995444599973).

The spelling of 101675024023872 in words is "one hundred one trillion, six hundred seventy-five billion, twenty-four million, twenty-three thousand, eight hundred seventy-two".