2011101121001 has 16 divisors (see below), whose sum is σ = 2324421907200. Its totient is φ = 1704288757248.

The previous prime is 2011101120907. The next prime is 2011101121009. The reversal of 2011101121001 is 1001211011102.

It is a de Polignac number, because none of the positive numbers 2^k-2011101121001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011101121009) 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, 7615940 + ... + 7875578.

It is an arithmetic number, because the mean of its divisors is an integer number (145276369200).

Almost surely, 2^{2011101121001} is an apocalyptic number.

It is an amenable number.

2011101121001 is a deficient number, since it is larger than the sum of its proper divisors (313320786199).

2011101121001 is a wasteful number, since it uses less digits than its factorization.

2011101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272168.

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

Adding to 2011101121001 its reverse (1001211011102), we get a palindrome (3012312132103).

The spelling of 2011101121001 in words is "two trillion, eleven billion, one hundred one million, one hundred twenty-one thousand, one".