10011006000611 has 16 divisors (see below), whose sum is σ = 12481598370048. Its totient is φ = 7800568812000.

The previous prime is 10011006000581. The next prime is 10011006000647. The reversal of 10011006000611 is 11600060011001.

It is a cyclic number.

It is not a de Polignac number, because 10011006000611 - 2¹⁰ = 10011005999587 is a prime.

It is a super-2 number, since 2×10011006000611² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011006000611.

It is not an unprimeable number, because it can be changed into a prime (10011006000811) 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, 1047461 + ... + 4595561.

It is an arithmetic number, because the mean of its divisors is an integer number (780099898128).

Almost surely, 2^{10011006000611} is an apocalyptic number.

10011006000611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011006000611 is a deficient number, since it is larger than the sum of its proper divisors (2470592369437).

10011006000611 is a wasteful number, since it uses less digits than its factorization.

10011006000611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584762.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10011006000611 its reverse (11600060011001), we get a palindrome (21611066011612).

The spelling of 10011006000611 in words is "ten trillion, eleven billion, six million, six hundred eleven", and thus it is an aban number.