10000101001111 has 4 divisors (see below), whose sum is σ = 10769339539672. Its totient is φ = 9230862462552.

The previous prime is 10000101001097. The next prime is 10000101001133. The reversal of 10000101001111 is 11110010100001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10000101001111 - 2²¹ = 10000098903959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000101001094 and 10000101001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384619269261 + ... + 384619269286.

It is an arithmetic number, because the mean of its divisors is an integer number (2692334884918).

Almost surely, 2^{10000101001111} is an apocalyptic number.

10000101001111 is a deficient number, since it is larger than the sum of its proper divisors (769238538561).

10000101001111 is an equidigital number, since it uses as much as digits as its factorization.

10000101001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769238538560.

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

Adding to 10000101001111 its reverse (11110010100001), we get a palindrome (21110111101112).

The spelling of 10000101001111 in words is "ten trillion, one hundred one million, one thousand, one hundred eleven".