100712001024 has 160 divisors (see below), whose sum is σ = 301891392000. Its totient is φ = 33145362432.

The previous prime is 100712001023. The next prime is 100712001041. The reversal of 100712001024 is 420100217001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100712000988 and 100712001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100712001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045987 + ... + 1138205.

It is an arithmetic number, because the mean of its divisors is an integer number (1886821200).

Almost surely, 2^100712001024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100712001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150945696000).

100712001024 is an abundant number, since it is smaller than the sum of its proper divisors (201179390976).

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

100712001024 is an frugal number, since it uses more digits than its factorization.

100712001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92325 (or 92303 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 100712001024 its reverse (420100217001), we get a palindrome (520812218025).

The spelling of 100712001024 in words is "one hundred billion, seven hundred twelve million, one thousand, twenty-four".