1121121002001 has 48 divisors (see below), whose sum is σ = 2042881864128. Its totient is φ = 537600470400.

The previous prime is 1121121001997. The next prime is 1121121002011. The reversal of 1121121002001 is 1002001211211.

It is not a de Polignac number, because 1121121002001 - 2² = 1121121001997 is a prime.

It is a super-2 number, since 2×1121121002001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121121002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26645670 + ... + 26687711.

It is an arithmetic number, because the mean of its divisors is an integer number (42560038836).

Almost surely, 2^{1121121002001} is an apocalyptic number.

1121121002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121121002001 is a deficient number, since it is larger than the sum of its proper divisors (921760862127).

1121121002001 is a wasteful number, since it uses less digits than its factorization.

1121121002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53333422 (or 53333415 counting only the distinct ones).

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

Adding to 1121121002001 its reverse (1002001211211), we get a palindrome (2123122213212).

The spelling of 1121121002001 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, two thousand, one".