1000334440100 has 18 divisors (see below), whose sum is σ = 2170725735234. Its totient is φ = 400133776000.

The previous prime is 1000334440037. The next prime is 1000334440111. The reversal of 1000334440100 is 10444330001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 295040166976 + 705294273124 = 543176^2 + 839818^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5001672101 + ... + 5001672300.

Almost surely, 2^{1000334440100} is an apocalyptic number.

1000334440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000334440100 is an abundant number, since it is smaller than the sum of its proper divisors (1170391295134).

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

1000334440100 is a wasteful number, since it uses less digits than its factorization.

1000334440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003344415 (or 10003344408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000334440100 its reverse (10444330001), we get a palindrome (1010778770101).

The spelling of 1000334440100 in words is "one trillion, three hundred thirty-four million, four hundred forty thousand, one hundred".