100000001000 has 64 divisors (see below), whose sum is σ = 247764750480. Its totient is φ = 37647052800.

The previous prime is 100000000951. The next prime is 100000001009. The reversal of 100000001000 is 100000001.

It can be written as a sum of positive squares in 8 ways, for example, as 20947930756 + 79052070244 = 144734^2 + 281162^2 .

It is a sliding number, since 100000001000 = 1000 + 100000000000 and 1/1000 + 1/100000000000 = 0.00100000001000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is not an unprimeable number, because it can be changed into a prime (100000001009) 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, 2924177 + ... + 2958176.

Almost surely, 2^100000001000 is an apocalyptic number.

100000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000001000 is an abundant number, since it is smaller than the sum of its proper divisors (147764749480).

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

100000001000 is a wasteful number, since it uses less digits than its factorization.

100000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882391 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 100000001000 its reverse (100000001), we get a palindrome (100100001001).

Subtracting from 100000001000 its reverse (100000001), we obtain a palindrome (99900000999).

100000001000 divided by its reverse (100000001) gives a cube (1000 = 10³).

The spelling of 100000001000 in words is "one hundred billion, one thousand".