201211011012011 has 128 divisors (see below), whose sum is σ = 280823693230080. Its totient is φ = 139081726771200.

The previous prime is 201211011012001. The next prime is 201211011012019. The reversal of 201211011012011 is 110210110112102.

It is not a de Polignac number, because 201211011012011 - 2¹⁰ = 201211011010987 is a prime.

It is a super-2 number, since 2×201211011012011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201211011012019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2696835875 + ... + 2696910483.

It is an arithmetic number, because the mean of its divisors is an integer number (2193935103360).

Almost surely, 2^{201211011012011} is an apocalyptic number.

201211011012011 is a deficient number, since it is larger than the sum of its proper divisors (79612682218069).

201211011012011 is a wasteful number, since it uses less digits than its factorization.

201211011012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75277.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201211011012011 its reverse (110210110112102), we get a palindrome (311421121124113).

It can be divided in two parts, 20121101 and 1012011, that added together give a palindrome (21133112).

The spelling of 201211011012011 in words is "two hundred one trillion, two hundred eleven billion, eleven million, twelve thousand, eleven".