1102111012000 has 96 divisors (see below), whose sum is σ = 2801262456720. Its totient is φ = 425642828800.

The previous prime is 1102111011997. The next prime is 1102111012021. The reversal of 1102111012000 is 2101112011.

It can be written as a sum of positive squares in 8 ways, for example, as 58926591504 + 1043184420496 = 242748^2 + 1021364^2 .

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 15 ways as a sum of consecutive naturals, for example, 4634479 + ... + 4866478.

Almost surely, 2^{1102111012000} is an apocalyptic number.

1102111012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102111012000 is an abundant number, since it is smaller than the sum of its proper divisors (1699151444720).

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

1102111012000 is an equidigital number, since it uses as much as digits as its factorization.

1102111012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501011 (or 9500993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102111012000 its reverse (2101112011), we get a palindrome (1104212124011).

It can be divided in two parts, 110211 and 1012000, that added together give a palindrome (1122211).

The spelling of 1102111012000 in words is "one trillion, one hundred two billion, one hundred eleven million, twelve thousand".