101111011122111 has 16 divisors (see below), whose sum is σ = 135007472125440. Its totient is φ = 67310969191200.

The previous prime is 101111011122089. The next prime is 101111011122113. The reversal of 101111011122111 is 111221110111101.

It is a happy number.

It is not a de Polignac number, because 101111011122111 - 2³¹ = 101108863638463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011122113) 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, 14081310 + ... + 20012628.

It is an arithmetic number, because the mean of its divisors is an integer number (8437967007840).

Almost surely, 2^{101111011122111} is an apocalyptic number.

101111011122111 is a deficient number, since it is larger than the sum of its proper divisors (33896461003329).

101111011122111 is an equidigital number, since it uses as much as digits as its factorization.

101111011122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939446.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101111011122111 its reverse (111221110111101), we get a palindrome (212332121233212).

The spelling of 101111011122111 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, one hundred eleven".