1000111120100 has 72 divisors (see below), whose sum is σ = 2191876377600. Its totient is φ = 396058394880.

The previous prime is 1000111120097. The next prime is 1000111120103. The reversal of 1000111120100 is 10211110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000111120097) and next prime (1000111120103).

It is not an unprimeable number, because it can be changed into a prime (1000111120103) 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, 49419584 + ... + 49439816.

Almost surely, 2^{1000111120100} is an apocalyptic number.

1000111120100 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 1000111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095938188800).

1000111120100 is an abundant number, since it is smaller than the sum of its proper divisors (1191765257500).

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

1000111120100 is a wasteful number, since it uses less digits than its factorization.

1000111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25149 (or 25142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000111120100 its reverse (10211110001), we get a palindrome (1010322230101).

It can be divided in two parts, 1000111 and 120100, that added together give a palindrome (1120211).

The spelling of 1000111120100 in words is "one trillion, one hundred eleven million, one hundred twenty thousand, one hundred".