10100001010111 has 32 divisors (see below), whose sum is σ = 10647559941120. Its totient is φ = 9571553481600.

The previous prime is 10100001010061. The next prime is 10100001010163. The reversal of 10100001010111 is 11101010000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100001010111 - 2²³ = 10099992621503 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100001010094 and 10100001010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001010181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301755085 + ... + 301788553.

It is an arithmetic number, because the mean of its divisors is an integer number (332736248160).

Almost surely, 2^{10100001010111} is an apocalyptic number.

10100001010111 is a deficient number, since it is larger than the sum of its proper divisors (547558931009).

10100001010111 is a wasteful number, since it uses less digits than its factorization.

10100001010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35215.

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

Adding to 10100001010111 its reverse (11101010000101), we get a palindrome (21201011010212).

The spelling of 10100001010111 in words is "ten trillion, one hundred billion, one million, ten thousand, one hundred eleven".