1011440400100 has 72 divisors (see below), whose sum is σ = 2364021146088. Its totient is φ = 373397606400.

The previous prime is 1011440400097. The next prime is 1011440400109. The reversal of 1011440400100 is 10040441101.

It can be written as a sum of positive squares in 12 ways, for example, as 94228125156 + 917212274944 = 306966^2 + 957712^2 .

It is not an unprimeable number, because it can be changed into a prime (1011440400109) 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, 8935860 + ... + 9048340.

It is an arithmetic number, because the mean of its divisors is an integer number (32833627029).

Almost surely, 2^{1011440400100} is an apocalyptic number.

1011440400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011440400100 is an abundant number, since it is smaller than the sum of its proper divisors (1352580745988).

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

1011440400100 is a wasteful number, since it uses less digits than its factorization.

1011440400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119425 (or 119418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1011440400100 its reverse (10040441101), we get a palindrome (1021480841201).

The spelling of 1011440400100 in words is "one trillion, eleven billion, four hundred forty million, four hundred thousand, one hundred".