201101102211111 has 32 divisors (see below), whose sum is σ = 273009533626368. Its totient is φ = 131649721738080.

The previous prime is 201101102211103. The next prime is 201101102211127. The reversal of 201101102211111 is 111112201101102.

It is not a de Polignac number, because 201101102211111 - 2³ = 201101102211103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101102211161) 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, 616388056 + ... + 616714226.

It is an arithmetic number, because the mean of its divisors is an integer number (8531547925824).

Almost surely, 2^{201101102211111} is an apocalyptic number.

201101102211111 is a deficient number, since it is larger than the sum of its proper divisors (71908431415257).

201101102211111 is a wasteful number, since it uses less digits than its factorization.

201101102211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341251.

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

Adding to 201101102211111 its reverse (111112201101102), we get a palindrome (312213303312213).

It can be divided in two parts, 20110110 and 2211111, that added together give a triangular number (22321221 = T₆₆₈₁).

The spelling of 201101102211111 in words is "two hundred one trillion, one hundred one billion, one hundred two million, two hundred eleven thousand, one hundred eleven".