100000001001000 has 128 divisors (see below), whose sum is σ = 312187181304960. Its totient is φ = 26650668800000.

The previous prime is 100000001000989. The next prime is 100000001001011. The reversal of 100000001001000 is 100100000001.

It is an interprime number because it is at equal distance from previous prime (100000001000989) and next prime (100000001001011).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4997001 + ... + 14999000.

It is an arithmetic number, because the mean of its divisors is an integer number (2438962353945).

Almost surely, 2^{100000001001000} is an apocalyptic number.

100000001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000001001000 is an abundant number, since it is smaller than the sum of its proper divisors (212187180303960).

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

100000001001000 is a wasteful number, since it uses less digits than its factorization.

100000001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997692 (or 19997678 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100000001001000 its reverse (100100000001), we get a palindrome (100100101001001).

The spelling of 100000001001000 in words is "one hundred trillion, one million, one thousand".