1000100003100 has 144 divisors (see below), whose sum is σ = 3157103099136. Its totient is φ = 242415936000.

The previous prime is 1000100003069. The next prime is 1000100003117. The reversal of 1000100003100 is 13000010001.

It is a super-2 number, since 2×1000100003100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32380665 + ... + 32411535.

Almost surely, 2^{1000100003100} is an apocalyptic number.

1000100003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578551549568).

1000100003100 is an abundant number, since it is smaller than the sum of its proper divisors (2157003096036).

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

1000100003100 is a wasteful number, since it uses less digits than its factorization.

1000100003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40716 (or 40709 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 1000100003100 its reverse (13000010001), we get a palindrome (1013100013101).

The spelling of 1000100003100 in words is "one trillion, one hundred million, three thousand, one hundred".