10010110011101 has 16 divisors (see below), whose sum is σ = 10865157594480. Its totient is φ = 9184968376320.

The previous prime is 10010110011089. The next prime is 10010110011113. The reversal of 10010110011101 is 10111001101001.

It is an interprime number because it is at equal distance from previous prime (10010110011089) and next prime (10010110011113).

It can be written as a sum of positive squares in 8 ways, for example, as 710665860100 + 9299444151001 = 843010^2 + 3049499^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010110011101 - 2¹⁸ = 10010109748957 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 (10010110011151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4114346 + ... + 6078491.

It is an arithmetic number, because the mean of its divisors is an integer number (679072349655).

Almost surely, 2^{10010110011101} is an apocalyptic number.

It is an amenable number.

10010110011101 is a deficient number, since it is larger than the sum of its proper divisors (855047583379).

10010110011101 is a wasteful number, since it uses less digits than its factorization.

10010110011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194304.

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

Adding to 10010110011101 its reverse (10111001101001), we get a palindrome (20121111112102).

The spelling of 10010110011101 in words is "ten trillion, ten billion, one hundred ten million, eleven thousand, one hundred one".