100111221100111 has 16 divisors (see below), whose sum is σ = 109642850352000. Its totient is φ = 90841228223328.

The previous prime is 100111221100081. The next prime is 100111221100117. The reversal of 100111221100111 is 111001122111001.

It is a cyclic number.

It is not a de Polignac number, because 100111221100111 - 2¹⁵ = 100111221067343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111221100091 and 100111221100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111221100117) 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, 22586800 + ... + 26653066.

It is an arithmetic number, because the mean of its divisors is an integer number (6852678147000).

Almost surely, 2^{100111221100111} is an apocalyptic number.

100111221100111 is a deficient number, since it is larger than the sum of its proper divisors (9531629251889).

100111221100111 is a wasteful number, since it uses less digits than its factorization.

100111221100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098438.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111221100111 its reverse (111001122111001), we get a palindrome (211112343211112).

The spelling of 100111221100111 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, one hundred eleven".