10611000605101 has 12 divisors (see below), whose sum is σ = 11498173397460. Its totient is φ = 9787817994240.

The previous prime is 10611000605099. The next prime is 10611000605167. The reversal of 10611000605101 is 10150600011601.

It can be written as a sum of positive squares in 6 ways, for example, as 6166535529001 + 4444465076100 = 2483251^2 + 2108190^2 .

It is not a de Polignac number, because 10611000605101 - 2¹ = 10611000605099 is a prime.

It is a super-2 number, since 2×10611000605101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611000605701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22042570 + ... + 22518811.

It is an arithmetic number, because the mean of its divisors is an integer number (958181116455).

Almost surely, 2^{10611000605101} is an apocalyptic number.

It is an amenable number.

10611000605101 is a deficient number, since it is larger than the sum of its proper divisors (887172792359).

10611000605101 is a wasteful number, since it uses less digits than its factorization.

10611000605101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44562816 (or 44562803 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10611000605101 its reverse (10150600011601), we get a palindrome (20761600616702).

The spelling of 10611000605101 in words is "ten trillion, six hundred eleven billion, six hundred five thousand, one hundred one".