1112210000100 has 108 divisors (see below), whose sum is σ = 3490918543476. Its totient is φ = 296184533760.

The previous prime is 1112210000087. The next prime is 1112210000137. The reversal of 1112210000100 is 10000122111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1327727844 + 1110882272256 = 36438^2 + 1053984^2 .

It is a super-2 number, since 2×1112210000100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183267 + ... + 1502666.

It is an arithmetic number, because the mean of its divisors is an integer number (32323319847).

Almost surely, 2^{1112210000100} is an apocalyptic number.

1112210000100 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 1112210000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745459271738).

1112210000100 is an abundant number, since it is smaller than the sum of its proper divisors (2378708543376).

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

1112210000100 is a wasteful number, since it uses less digits than its factorization.

1112210000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686686 (or 1686676 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1112210000100 its reverse (10000122111), we get a palindrome (1122210122211).

The spelling of 1112210000100 in words is "one trillion, one hundred twelve billion, two hundred ten million, one hundred", and thus it is an aban number.