100111111000090 has 16 divisors (see below), whose sum is σ = 189684210316320. Its totient is φ = 37936842063120.

The previous prime is 100111111000067. The next prime is 100111111000091. The reversal of 100111111000090 is 90000111111001.

It is not an unprimeable number, because it can be changed into a prime (100111111000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263450291916 + ... + 263450292295.

It is an arithmetic number, because the mean of its divisors is an integer number (11855263144770).

Almost surely, 2^{100111111000090} is an apocalyptic number.

100111111000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111111000090 is a deficient number, since it is larger than the sum of its proper divisors (89573099316230).

100111111000090 is a wasteful number, since it uses less digits than its factorization.

100111111000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526900584237.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 100111111000090 its reverse (90000111111001), we get a palindrome (190111222111091).

The spelling of 100111111000090 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, ninety", and thus it is an aban number.