201101111212011 has 16 divisors (see below), whose sum is σ = 268298803065216. Its totient is φ = 133985433231936.

The previous prime is 201101111211991. The next prime is 201101111212031. The reversal of 201101111212011 is 110212111101102.

It is an interprime number because it is at equal distance from previous prime (201101111211991) and next prime (201101111212031).

It is not a de Polignac number, because 201101111212011 - 2¹⁷ = 201101111080939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201101111212031) 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, 38190591 + ... + 43136103.

It is an arithmetic number, because the mean of its divisors is an integer number (16768675191576).

Almost surely, 2^{201101111212011} is an apocalyptic number.

201101111212011 is a deficient number, since it is larger than the sum of its proper divisors (67197691853205).

201101111212011 is a wasteful number, since it uses less digits than its factorization.

201101111212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953802.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201101111212011 its reverse (110212111101102), we get a palindrome (311313222313113).

The spelling of 201101111212011 in words is "two hundred one trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, eleven".