101011110122111 has 16 divisors (see below), whose sum is σ = 122232210370560. Its totient is φ = 81487768521600.

The previous prime is 101011110122093. The next prime is 101011110122119. The reversal of 101011110122111 is 111221011110101.

It is not a de Polignac number, because 101011110122111 - 2³⁴ = 100993930252927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011110122119) 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, 79210610 + ... + 80475728.

It is an arithmetic number, because the mean of its divisors is an integer number (7639513148160).

Almost surely, 2^{101011110122111} is an apocalyptic number.

101011110122111 is a deficient number, since it is larger than the sum of its proper divisors (21221100248449).

101011110122111 is a wasteful number, since it uses less digits than its factorization.

101011110122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936094.

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

Adding to 101011110122111 its reverse (111221011110101), we get a palindrome (212232121232212).

The spelling of 101011110122111 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred eleven".