11121022001001 has 64 divisors (see below), whose sum is σ = 16868767850496. Its totient is φ = 6458744448000.

The previous prime is 11121022000981. The next prime is 11121022001003. The reversal of 11121022001001 is 10010022012111.

It is not a de Polignac number, because 11121022001001 - 2²¹ = 11121019903849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121022001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15153076 + ... + 15870026.

It is an arithmetic number, because the mean of its divisors is an integer number (263574497664).

Almost surely, 2^{11121022001001} is an apocalyptic number.

11121022001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121022001001 is a deficient number, since it is larger than the sum of its proper divisors (5747745849495).

11121022001001 is a wasteful number, since it uses less digits than its factorization.

11121022001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717222.

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

Adding to 11121022001001 its reverse (10010022012111), we get a palindrome (21131044013112).

The spelling of 11121022001001 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, one thousand, one".