100100120111101 has 16 divisors (see below), whose sum is σ = 109288853807616. Its totient is φ = 90926191710000.

The previous prime is 100100120111099. The next prime is 100100120111119. The reversal of 100100120111101 is 101111021001001.

It is a cyclic number.

It is not a de Polignac number, because 100100120111101 - 2¹ = 100100120111099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100120111171) 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, 110761066 + ... + 111661156.

It is an arithmetic number, because the mean of its divisors is an integer number (6830553362976).

Almost surely, 2^{100100120111101} is an apocalyptic number.

100100120111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100120111101 is a deficient number, since it is larger than the sum of its proper divisors (9188733696515).

100100120111101 is a wasteful number, since it uses less digits than its factorization.

100100120111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908304.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100100120111101 its reverse (101111021001001), we get a palindrome (201211141112102).

The spelling of 100100120111101 in words is "one hundred trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, one hundred one".