2011121120001 has 48 divisors (see below), whose sum is σ = 3287045325824. Its totient is φ = 1071109944576.

The previous prime is 2011121119921. The next prime is 2011121120039. The reversal of 2011121120001 is 1000211211102.

It is not a de Polignac number, because 2011121120001 - 2¹¹ = 2011121117953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011121120081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983515 + ... + 2233728.

Almost surely, 2^{2011121120001} is an apocalyptic number.

2011121120001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011121120001 is a deficient number, since it is larger than the sum of its proper divisors (1275924205823).

2011121120001 is a wasteful number, since it uses less digits than its factorization.

2011121120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217390 (or 3217373 counting only the distinct ones).

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

Adding to 2011121120001 its reverse (1000211211102), we get a palindrome (3011332331103).

The spelling of 2011121120001 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, one".