101675674492812 has 480 divisors, whose sum is σ = 311786700825600. Its totient is φ = 28296414609408.

The previous prime is 101675674492789. The next prime is 101675674492823. The reversal of 101675674492812 is 218294476576101.

It is a happy number.

101675674492812 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 7 + 5 + 67 + 4 + 492 + 81 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 101675674492812.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4012603239 + ... + 4012628577.

It is an arithmetic number, because the mean of its divisors is an integer number (649555626720).

Almost surely, 2^{101675674492812} is an apocalyptic number.

101675674492812 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 101675674492812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155893350412800).

101675674492812 is an abundant number, since it is smaller than the sum of its proper divisors (210111026332788).

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

101675674492812 is a wasteful number, since it uses less digits than its factorization.

101675674492812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25747 (or 25736 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 101675674492812 in words is "one hundred one trillion, six hundred seventy-five billion, six hundred seventy-four million, four hundred ninety-two thousand, eight hundred twelve".