1003377400100 has 18 divisors (see below), whose sum is σ = 2177328958434. Its totient is φ = 401350960000.

The previous prime is 1003377400031. The next prime is 1003377400111. The reversal of 1003377400100 is 10047733001.

1003377400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 125198499556 + 878178900544 = 353834^2 + 937112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1003377400100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5016886901 + ... + 5016887100.

It is an arithmetic number, because the mean of its divisors is an integer number (120962719913).

Almost surely, 2^{1003377400100} is an apocalyptic number.

1003377400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003377400100 is an abundant number, since it is smaller than the sum of its proper divisors (1173951558334).

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

1003377400100 is a wasteful number, since it uses less digits than its factorization.

1003377400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033774015 (or 10033774008 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 1003377400100 in words is "one trillion, three billion, three hundred seventy-seven million, four hundred thousand, one hundred".