11012012012001 has 256 divisors, whose sum is σ = 21067552235520. Its totient is φ = 4926873600000.

The previous prime is 11012012011981. The next prime is 11012012012033. The reversal of 11012012012001 is 10021021021011.

It is not a de Polignac number, because 11012012012001 - 2²⁶ = 11011944903137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11012012012081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1112207151 + ... + 1112217051.

It is an arithmetic number, because the mean of its divisors is an integer number (82295125920).

Almost surely, 2^{11012012012001} is an apocalyptic number.

11012012012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012012012001 is a deficient number, since it is larger than the sum of its proper divisors (10055540223519).

11012012012001 is a wasteful number, since it uses less digits than its factorization.

11012012012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012012012001 its reverse (10021021021011), we get a palindrome (21033033033012).

It can be divided in two parts, 110120 and 12012001, that added together give a palindrome (12122121).

The spelling of 11012012012001 in words is "eleven trillion, twelve billion, twelve million, twelve thousand, one".