1001121122011 has 8 divisors (see below), whose sum is σ = 1053821606400. Its totient is φ = 948421627560.

The previous prime is 1001121121943. The next prime is 1001121122021. The reversal of 1001121122011 is 1102211211001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121122011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001121121982 and 1001121122000.

It is not an unprimeable number, because it can be changed into a prime (1001121122021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2774850 + ... + 3114808.

It is an arithmetic number, because the mean of its divisors is an integer number (131727700800).

Almost surely, 2^{1001121122011} is an apocalyptic number.

1001121122011 is a deficient number, since it is larger than the sum of its proper divisors (52700484389).

1001121122011 is a wasteful number, since it uses less digits than its factorization.

1001121122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494969.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001121122011 its reverse (1102211211001), we get a palindrome (2103332333012).

The spelling of 1001121122011 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".