1001122001121 has 64 divisors (see below), whose sum is σ = 1535852482560. Its totient is φ = 574120800000.

The previous prime is 1001122001107. The next prime is 1001122001189. The reversal of 1001122001121 is 1211002211001.

It is not a de Polignac number, because 1001122001121 - 2¹⁸ = 1001121738977 is a prime.

It is a super-2 number, since 2×1001122001121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001122001097 and 1001122001106.

It is not an unprimeable number, because it can be changed into a prime (1001122000121) 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 63 ways as a sum of consecutive naturals, for example, 101108271 + ... + 101118171.

It is an arithmetic number, because the mean of its divisors is an integer number (23997695040).

Almost surely, 2^{1001122001121} is an apocalyptic number.

1001122001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122001121 is a deficient number, since it is larger than the sum of its proper divisors (534730481439).

1001122001121 is a wasteful number, since it uses less digits than its factorization.

1001122001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358.

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

Adding to 1001122001121 its reverse (1211002211001), we get a palindrome (2212124212122).

The spelling of 1001122001121 in words is "one trillion, one billion, one hundred twenty-two million, one thousand, one hundred twenty-one".