1001121111011 has 16 divisors (see below), whose sum is σ = 1158344039424. Its totient is φ = 847494265824.

The previous prime is 1001121110959. The next prime is 1001121111043. The reversal of 1001121111011 is 1101111211001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001121111011 - 2¹⁴ = 1001121094627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001121110983 and 1001121111001.

It is not an unprimeable number, because it can be changed into a prime (1001121111071) 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, 1592351 + ... + 2130216.

It is an arithmetic number, because the mean of its divisors is an integer number (72396502464).

Almost surely, 2^{1001121111011} is an apocalyptic number.

1001121111011 is a deficient number, since it is larger than the sum of its proper divisors (157222928413).

1001121111011 is a wasteful number, since it uses less digits than its factorization.

1001121111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723050.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1001121111011 its reverse (1101111211001), we get a palindrome (2102232322012).

The spelling of 1001121111011 in words is "one trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, eleven".