1103121002000 has 80 divisors (see below), whose sum is σ = 2697317204400. Its totient is φ = 436290483200.

The previous prime is 1103121001987. The next prime is 1103121002003. The reversal of 1103121002000 is 2001213011.

It can be written as a sum of positive squares in 8 ways, for example, as 478161186064 + 624959815936 = 691492^2 + 790544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1103121002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920655 + ... + 3276654.

It is an arithmetic number, because the mean of its divisors is an integer number (33716465055).

Almost surely, 2^{1103121002000} is an apocalyptic number.

1103121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103121002000 is an abundant number, since it is smaller than the sum of its proper divisors (1594196202400).

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

1103121002000 is an equidigital number, since it uses as much as digits as its factorization.

1103121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197421 (or 6197405 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1103121002000 its reverse (2001213011), we get a palindrome (1105122215011).

The spelling of 1103121002000 in words is "one trillion, one hundred three billion, one hundred twenty-one million, two thousand".