1101387280900 has 27 divisors (see below), whose sum is σ = 2390033173269. Its totient is φ = 440550714480.

The previous prime is 1101387280883. The next prime is 1101387280943. The reversal of 1101387280900 is 90827831011.

The square root of 1101387280900 is 1049470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 396499421124 + 704887859776 = 629682^2 + 839576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10442227 + ... + 10547173.

Almost surely, 2^{1101387280900} is an apocalyptic number.

1101387280900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101387280900 is the 1049470-th square number.

It is an amenable number.

1101387280900 is an abundant number, since it is smaller than the sum of its proper divisors (1288645892369).

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

1101387280900 is an frugal number, since it uses more digits than its factorization.

1101387280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209908 (or 104954 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 1101387280900 in words is "one trillion, one hundred one billion, three hundred eighty-seven million, two hundred eighty thousand, nine hundred".