100110102101111 has 4 divisors (see below), whose sum is σ = 100119583132800. Its totient is φ = 100100621069424.

The previous prime is 100110102101089. The next prime is 100110102101117. The reversal of 100110102101111 is 111101201011001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100110102101111 - 2¹⁰ = 100110102100087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110102101092 and 100110102101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102101117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4740500006 + ... + 4740521123.

It is an arithmetic number, because the mean of its divisors is an integer number (25029895783200).

Almost surely, 2^{100110102101111} is an apocalyptic number.

100110102101111 is a deficient number, since it is larger than the sum of its proper divisors (9481031689).

100110102101111 is an equidigital number, since it uses as much as digits as its factorization.

100110102101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481031688.

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

Adding to 100110102101111 its reverse (111101201011001), we get a palindrome (211211303112112).

The spelling of 100110102101111 in words is "one hundred trillion, one hundred ten billion, one hundred two million, one hundred one thousand, one hundred eleven".