11010610010600 has 48 divisors (see below), whose sum is σ = 27105531122700. Its totient is φ = 4145170826240.

The previous prime is 11010610010591. The next prime is 11010610010629. The reversal of 11010610010600 is 601001601011.

It can be written as a sum of positive squares in 6 ways, for example, as 5953121769604 + 5057488240996 = 2439902^2 + 2248886^2 .

It is a super-2 number, since 2×11010610010600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1619203955 + ... + 1619210754.

Almost surely, 2^{11010610010600} is an apocalyptic number.

11010610010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010610010600 is an abundant number, since it is smaller than the sum of its proper divisors (16094921112100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11010610010600 is a wasteful number, since it uses less digits than its factorization.

11010610010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238414742 (or 3238414733 counting only the distinct ones).

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

Adding to 11010610010600 its reverse (601001601011), we get a palindrome (11611611611611).

The spelling of 11010610010600 in words is "eleven trillion, ten billion, six hundred ten million, ten thousand, six hundred".