100111222211011 has 16 divisors (see below), whose sum is σ = 111939724240128. Its totient is φ = 88764198732000.

The previous prime is 100111222210999. The next prime is 100111222211129. The reversal of 100111222211011 is 110112222111001.

It is a de Polignac number, because none of the positive numbers 2^k-100111222211011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111222211411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672381615 + ... + 672530488.

It is an arithmetic number, because the mean of its divisors is an integer number (6996232765008).

Almost surely, 2^{100111222211011} is an apocalyptic number.

100111222211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111222211011 is a deficient number, since it is larger than the sum of its proper divisors (11828502029117).

100111222211011 is a wasteful number, since it uses less digits than its factorization.

100111222211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344912282.

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

Adding to 100111222211011 its reverse (110112222111001), we get a palindrome (210223444322012).

The spelling of 100111222211011 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, eleven".