11122111012001 has 32 divisors (see below), whose sum is σ = 12272311296000. Its totient is φ = 9995794200000.

The previous prime is 11122111011943. The next prime is 11122111012007. The reversal of 11122111012001 is 10021011122111.

11122111012001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11122111012001 - 2¹⁸ = 11122110749857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11122111012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605144030 + ... + 605162408.

It is an arithmetic number, because the mean of its divisors is an integer number (383509728000).

Almost surely, 2^{11122111012001} is an apocalyptic number.

11122111012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122111012001 is a deficient number, since it is larger than the sum of its proper divisors (1150200283999).

11122111012001 is a wasteful number, since it uses less digits than its factorization.

11122111012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20261.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11122111012001 its reverse (10021011122111), we get a palindrome (21143122134112).

It can be divided in two parts, 1112211 and 1012001, that added together give a palindrome (2124212).

The spelling of 11122111012001 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, twelve thousand, one".