10010511105101 has 8 divisors (see below), whose sum is σ = 10780657810104. Its totient is φ = 9240379741440.

The previous prime is 10010511105059. The next prime is 10010511105151. The reversal of 10010511105101 is 10150111501001.

It can be written as a sum of positive squares in 4 ways, for example, as 143694064900 + 9866817040201 = 379070^2 + 3141149^2 .

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 10010511105101 - 2²² = 10010506910797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010511105101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010511105151) 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, 2461880 + ... + 5107041.

It is an arithmetic number, because the mean of its divisors is an integer number (1347582226263).

Almost surely, 2^{10010511105101} is an apocalyptic number.

It is an amenable number.

10010511105101 is a deficient number, since it is larger than the sum of its proper divisors (770146705003).

10010511105101 is a wasteful number, since it uses less digits than its factorization.

10010511105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670671.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 10010511105101 its reverse (10150111501001), we get a palindrome (20160622606102).

The spelling of 10010511105101 in words is "ten trillion, ten billion, five hundred eleven million, one hundred five thousand, one hundred one".