11199129180100 has 27 divisors (see below), whose sum is σ = 24302182940301. Its totient is φ = 4479638286000.

The previous prime is 11199129180089. The next prime is 11199129180119. The reversal of 11199129180100 is 108192199111.

The square root of 11199129180100 is 3346510.

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., 4031686504836 + 7167442675264 = 2007906^2 + 2677208^2 .

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, 33297775 + ... + 33632425.

Almost surely, 2^{11199129180100} is an apocalyptic number.

11199129180100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11199129180100 is the 3346510-th square number.

It is an amenable number.

11199129180100 is an abundant number, since it is smaller than the sum of its proper divisors (13103053760201).

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

11199129180100 is an frugal number, since it uses more digits than its factorization.

11199129180100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669316 (or 334658 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 43.

The spelling of 11199129180100 in words is "eleven trillion, one hundred ninety-nine billion, one hundred twenty-nine million, one hundred eighty thousand, one hundred".