1121010221001 has 16 divisors (see below), whose sum is σ = 1644036032448. Its totient is φ = 679400131520.

The previous prime is 1121010220973. The next prime is 1121010221011. The reversal of 1121010221001 is 1001220101211.

It is not a de Polignac number, because 1121010221001 - 2⁷ = 1121010220873 is a prime.

It is a super-2 number, since 2×1121010221001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121010221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140367936 + ... + 140375921.

It is an arithmetic number, because the mean of its divisors is an integer number (102752252028).

Almost surely, 2^{1121010221001} is an apocalyptic number.

1121010221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121010221001 is a deficient number, since it is larger than the sum of its proper divisors (523025811447).

1121010221001 is an equidigital number, since it uses as much as digits as its factorization.

1121010221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280743893 (or 280743871 counting only the distinct ones).

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

Adding to 1121010221001 its reverse (1001220101211), we get a palindrome (2122230322212).

The spelling of 1121010221001 in words is "one trillion, one hundred twenty-one billion, ten million, two hundred twenty-one thousand, one".