100101101114 has 64 divisors (see below), whose sum is σ = 184610672640. Its totient is φ = 39748968000.

The previous prime is 100101101059. The next prime is 100101101117. The reversal of 100101101114 is 411101101001.

It is a happy number.

100101101114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100101101095 and 100101101104.

It is not an unprimeable number, because it can be changed into a prime (100101101117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28140224 + ... + 28143780.

It is an arithmetic number, because the mean of its divisors is an integer number (2884541760).

Almost surely, 2^100101101114 is an apocalyptic number.

100101101114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100101101114 is a deficient number, since it is larger than the sum of its proper divisors (84509571526).

100101101114 is a wasteful number, since it uses less digits than its factorization.

100101101114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101101114 its reverse (411101101001), we get a palindrome (511202202115).

The spelling of 100101101114 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred fourteen".