100101100010111 has 8 divisors (see below), whose sum is σ = 102232082656704. Its totient is φ = 97970166197280.

The previous prime is 100101100010099. The next prime is 100101100010113. The reversal of 100101100010111 is 111010001101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101100010111 - 2³⁴ = 100083920140927 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 (100101100010113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8050220 + ... + 16279073.

It is an arithmetic number, because the mean of its divisors is an integer number (12779010332088).

Almost surely, 2^{100101100010111} is an apocalyptic number.

100101100010111 is a deficient number, since it is larger than the sum of its proper divisors (2130982646593).

100101100010111 is an equidigital number, since it uses as much as digits as its factorization.

100101100010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24416881.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101100010111 its reverse (111010001101001), we get a palindrome (211111101111112).

The spelling of 100101100010111 in words is "one hundred trillion, one hundred one billion, one hundred million, ten thousand, one hundred eleven".