1000121121011 has 16 divisors (see below), whose sum is σ = 1010284479744. Its totient is φ = 990009506304.

The previous prime is 1000121121001. The next prime is 1000121121029. The reversal of 1000121121011 is 1101211210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000121121011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000121120983 and 1000121121001.

It is not an unprimeable number, because it can be changed into a prime (1000121121001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105304415 + ... + 105313911.

It is an arithmetic number, because the mean of its divisors is an integer number (63142779984).

Almost surely, 2^{1000121121011} is an apocalyptic number.

1000121121011 is a deficient number, since it is larger than the sum of its proper divisors (10163358733).

1000121121011 is a wasteful number, since it uses less digits than its factorization.

1000121121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1000121121011 its reverse (1101211210001), we get a palindrome (2101332331012).

The spelling of 1000121121011 in words is "one trillion, one hundred twenty-one million, one hundred twenty-one thousand, eleven".