101000010010111 has 4 divisors (see below), whose sum is σ = 101003709807000. Its totient is φ = 100996310213224.

The previous prime is 101000010010099. The next prime is 101000010010181. The reversal of 101000010010111 is 111010010000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000010010111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000010010094 and 101000010010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1849857496 + ... + 1849912093.

It is an arithmetic number, because the mean of its divisors is an integer number (25250927451750).

Almost surely, 2^{101000010010111} is an apocalyptic number.

101000010010111 is a deficient number, since it is larger than the sum of its proper divisors (3699796889).

101000010010111 is an equidigital number, since it uses as much as digits as its factorization.

101000010010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699796888.

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

Adding to 101000010010111 its reverse (111010010000101), we get a palindrome (212010020010212).

The spelling of 101000010010111 in words is "one hundred one trillion, ten million, ten thousand, one hundred eleven".