10610111105101 has 16 divisors (see below), whose sum is σ = 11371668135408. Its totient is φ = 9864281088000.

The previous prime is 10610111105071. The next prime is 10610111105107. The reversal of 10610111105101 is 10150111101601.

It can be written as a sum of positive squares in 8 ways, for example, as 74925923076 + 10535185182025 = 273726^2 + 3245795^2 .

It is a cyclic number.

It is not a de Polignac number, because 10610111105101 - 2⁹ = 10610111104589 is a prime.

It is a super-2 number, since 2×10610111105101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610111105107) 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 15 ways as a sum of consecutive naturals, for example, 6392160 + ... + 7879081.

It is an arithmetic number, because the mean of its divisors is an integer number (710729258463).

Almost surely, 2^{10610111105101} is an apocalyptic number.

It is an amenable number.

10610111105101 is a deficient number, since it is larger than the sum of its proper divisors (761557030307).

10610111105101 is a wasteful number, since it uses less digits than its factorization.

10610111105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271792.

The product of its (nonzero) digits is 30, while the sum is 19.

Adding to 10610111105101 its reverse (10150111101601), we get a palindrome (20760222206702).

The spelling of 10610111105101 in words is "ten trillion, six hundred ten billion, one hundred eleven million, one hundred five thousand, one hundred one".