100101000001111 has 8 divisors (see below), whose sum is σ = 105402227704880. Its totient is φ = 94803047699328.

The previous prime is 100101000001049. The next prime is 100101000001133. The reversal of 100101000001111 is 111100000101001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101000001111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101000001094 and 100101000001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000001151) 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, 818787756 + ... + 818910001.

It is an arithmetic number, because the mean of its divisors is an integer number (13175278463110).

Almost surely, 2^{100101000001111} is an apocalyptic number.

100101000001111 is a deficient number, since it is larger than the sum of its proper divisors (5301227703769).

100101000001111 is a wasteful number, since it uses less digits than its factorization.

100101000001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637700993.

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

Adding to 100101000001111 its reverse (111100000101001), we get a palindrome (211201000102112).

The spelling of 100101000001111 in words is "one hundred trillion, one hundred one billion, one thousand, one hundred eleven".