10010111010101 has 8 divisors (see below), whose sum is σ = 10110243060408. Its totient is φ = 9909999000000.

The previous prime is 10010111010077. The next prime is 10010111010167. The reversal of 10010111010101 is 10101011101001.

It can be written as a sum of positive squares in 4 ways, for example, as 5070378062500 + 4939732947601 = 2251750^2 + 2222551^2 .

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 10010111010101 - 2³⁰ = 10009037268277 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 (10010111010401) 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, 4005050 + ... + 6005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1263780382551).

Almost surely, 2^{10010111010101} is an apocalyptic number.

It is an amenable number.

10010111010101 is a deficient number, since it is larger than the sum of its proper divisors (100132050307).

10010111010101 is a wasteful number, since it uses less digits than its factorization.

10010111010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020103.

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

Adding to 10010111010101 its reverse (10101011101001), we get a palindrome (20111122111102).

It can be divided in two parts, 10010 and 111010101, that added together give a palindrome (111020111).

The spelling of 10010111010101 in words is "ten trillion, ten billion, one hundred eleven million, ten thousand, one hundred one".