100101110110090 has 32 divisors (see below), whose sum is σ = 184610758775184. Its totient is φ = 39056635637760.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110090 is 90011011101001.

It can be written as a sum of positive squares in 8 ways, for example, as 1372264644969 + 98728845465121 = 1171437^2 + 9936239^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20314479 + ... + 24756418.

Almost surely, 2^{100101110110090} is an apocalyptic number.

100101110110090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101110110090 is a deficient number, since it is larger than the sum of its proper divisors (84509648665094).

100101110110090 is a wasteful number, since it uses less digits than its factorization.

100101110110090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45076362.

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

Adding to 100101110110090 its reverse (90011011101001), we get a palindrome (190112121211091).

The spelling of 100101110110090 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, ninety".