101101112211 has 32 divisors (see below), whose sum is σ = 156328692480. Its totient is φ = 57473712000.

The previous prime is 101101112153. The next prime is 101101112243. The reversal of 101101112211 is 112211101101.

It is not a de Polignac number, because 101101112211 - 2¹¹ = 101101110163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101112311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734920 + ... + 861573.

It is an arithmetic number, because the mean of its divisors is an integer number (4885271640).

Almost surely, 2^101101112211 is an apocalyptic number.

101101112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101112211 is a deficient number, since it is larger than the sum of its proper divisors (55227580269).

101101112211 is a wasteful number, since it uses less digits than its factorization.

101101112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596627.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101112211 its reverse (112211101101), we get a palindrome (213312213312).

It can be divided in two parts, 101101 and 112211, that multiplied together give a palindrome (11344644311).

The spelling of 101101112211 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, two hundred eleven".