1000611000100 has 18 divisors (see below), whose sum is σ = 2171325870434. Its totient is φ = 400244400000.

The previous prime is 1000611000097. The next prime is 1000611000119. The reversal of 1000611000100 is 10001160001.

It can be written as a sum of positive squares in 3 ways, for example, as 83073074176 + 917537925924 = 288224^2 + 957882^2 .

It is a super-2 number, since 2×1000611000100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5003054901 + ... + 5003055100.

Almost surely, 2^{1000611000100} is an apocalyptic number.

1000611000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000611000100 is an abundant number, since it is smaller than the sum of its proper divisors (1170714870334).

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

1000611000100 is a wasteful number, since it uses less digits than its factorization.

1000611000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006110015 (or 10006110008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000611000100 its reverse (10001160001), we get a palindrome (1010612160101).

The spelling of 1000611000100 in words is "one trillion, six hundred eleven million, one hundred", and thus it is an aban number.