1000001000100 has 72 divisors (see below), whose sum is σ = 2893446370080. Its totient is φ = 266656782080.

The previous prime is 1000001000099. The next prime is 1000001000107. The reversal of 1000001000100 is 10001000001.

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.

1000001000100 is a modest number, since divided by 1000100 gives 10000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000001000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11096824 + ... + 11186576.

It is an arithmetic number, because the mean of its divisors is an integer number (40186755140).

Almost surely, 2^{1000001000100} is an apocalyptic number.

1000001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000001000100 is an abundant number, since it is smaller than the sum of its proper divisors (1893445369980).

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

1000001000100 is a wasteful number, since it uses less digits than its factorization.

1000001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126909 (or 126902 counting only the distinct ones).

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

Adding to 1000001000100 its reverse (10001000001), we get a palindrome (1010002000101).

Subtracting from 1000001000100 its reverse (10001000001), we obtain a palindrome (990000000099).

The spelling of 1000001000100 in words is "one trillion, one million, one hundred", and thus it is an aban number.