2012120211101 has 32 divisors (see below), whose sum is σ = 2710219669248. Its totient is φ = 1442655152640.

The previous prime is 2012120211071. The next prime is 2012120211113. The reversal of 2012120211101 is 1011120212102.

It is not a de Polignac number, because 2012120211101 - 2¹⁴ = 2012120194717 is a prime.

It is a super-2 number, since 2×2012120211101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012120211131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897726 + ... + 3524351.

It is an arithmetic number, because the mean of its divisors is an integer number (84694364664).

Almost surely, 2^{2012120211101} is an apocalyptic number.

It is an amenable number.

2012120211101 is a deficient number, since it is larger than the sum of its proper divisors (698099458147).

2012120211101 is a wasteful number, since it uses less digits than its factorization.

2012120211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422421.

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

Adding to 2012120211101 its reverse (1011120212102), we get a palindrome (3023240423203).

The spelling of 2012120211101 in words is "two trillion, twelve billion, one hundred twenty million, two hundred eleven thousand, one hundred one".