100111121010111 has 16 divisors (see below), whose sum is σ = 141340354825824. Its totient is φ = 62811706573824.

The previous prime is 100111121010091. The next prime is 100111121010127. The reversal of 100111121010111 is 111010121111001.

It is not a de Polignac number, because 100111121010111 - 2¹⁹ = 100111120485823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121010181) 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, 47624406 + ... + 49682051.

It is an arithmetic number, because the mean of its divisors is an integer number (8833772176614).

Almost surely, 2^{100111121010111} is an apocalyptic number.

100111121010111 is a deficient number, since it is larger than the sum of its proper divisors (41229233815713).

100111121010111 is a wasteful number, since it uses less digits than its factorization.

100111121010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97326650.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111121010111 its reverse (111010121111001), we get a palindrome (211121242121112).

The spelling of 100111121010111 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, ten thousand, one hundred eleven".