100110100211111 has 16 divisors (see below), whose sum is σ = 110654827766208. Its totient is φ = 90086194598400.

The previous prime is 100110100211089. The next prime is 100110100211119. The reversal of 100110100211111 is 111112001011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100110100211111 - 2⁴² = 95712053700007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110100211092 and 100110100211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100211119) 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, 53769860 + ... + 55600521.

It is an arithmetic number, because the mean of its divisors is an integer number (6915926735388).

Almost surely, 2^{100110100211111} is an apocalyptic number.

100110100211111 is a deficient number, since it is larger than the sum of its proper divisors (10544727555097).

100110100211111 is a wasteful number, since it uses less digits than its factorization.

100110100211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109372762.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100110100211111 its reverse (111112001011001), we get a palindrome (211222101222112).

The spelling of 100110100211111 in words is "one hundred trillion, one hundred ten billion, one hundred million, two hundred eleven thousand, one hundred eleven".