101110201121111 has 16 divisors (see below), whose sum is σ = 124448820937728. Its totient is φ = 79995746556000.

The previous prime is 101110201121071. The next prime is 101110201121119. The reversal of 101110201121111 is 111121102011101.

It is a cyclic number.

It is not a de Polignac number, because 101110201121111 - 2¹⁰ = 101110201120087 is a prime.

It is a super-2 number, since 2×101110201121111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110201121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22465295 + ... + 26587776.

It is an arithmetic number, because the mean of its divisors is an integer number (7778051308608).

Almost surely, 2^{101110201121111} is an apocalyptic number.

101110201121111 is a deficient number, since it is larger than the sum of its proper divisors (23338619816617).

101110201121111 is a wasteful number, since it uses less digits than its factorization.

101110201121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49075742.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101110201121111 its reverse (111121102011101), we get a palindrome (212231303132212).

The spelling of 101110201121111 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, one hundred twenty-one thousand, one hundred eleven".