2011012221101 has 16 divisors (see below), whose sum is σ = 2353228362240. Its totient is φ = 1701888356160.

The previous prime is 2011012221091. The next prime is 2011012221133. The reversal of 2011012221101 is 1011222101102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011012221101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012221601) 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, 131310890 + ... + 131326203.

It is an arithmetic number, because the mean of its divisors is an integer number (147076772640).

Almost surely, 2^{2011012221101} is an apocalyptic number.

It is an amenable number.

2011012221101 is a deficient number, since it is larger than the sum of its proper divisors (342216141139).

2011012221101 is a wasteful number, since it uses less digits than its factorization.

2011012221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262637156.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011012221101 its reverse (1011222101102), we get a palindrome (3022234322203).

The spelling of 2011012221101 in words is "two trillion, eleven billion, twelve million, two hundred twenty-one thousand, one hundred one".