100100101000111 has 2 divisors, whose sum is σ = 100100101000112. Its totient is φ = 100100101000110.

The previous prime is 100100101000051. The next prime is 100100101000121. The reversal of 100100101000111 is 111000101001001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100101000111 - 2¹⁵ = 100100100967343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100101000094 and 100100101000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100101000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050500055 + 50050050500056.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050500056).

Almost surely, 2^{100100101000111} is an apocalyptic number.

100100101000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100101000111 is an equidigital number, since it uses as much as digits as its factorization.

100100101000111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100101000111 its reverse (111000101001001), we get a palindrome (211100202001112).

The spelling of 100100101000111 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred eleven", and thus it is an aban number.