101111010211111 has 16 divisors (see below), whose sum is σ = 107076260729088. Its totient is φ = 95321785478400.

The previous prime is 101111010211109. The next prime is 101111010211157. The reversal of 101111010211111 is 111112010111101.

It is a cyclic number.

It is not a de Polignac number, because 101111010211111 - 2¹ = 101111010211109 is a prime.

It is a super-2 number, since 2×101111010211111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111010211091 and 101111010211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010217111) 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, 57893100 + ... + 59614033.

It is an arithmetic number, because the mean of its divisors is an integer number (6692266295568).

Almost surely, 2^{101111010211111} is an apocalyptic number.

101111010211111 is a deficient number, since it is larger than the sum of its proper divisors (5965250517977).

101111010211111 is a wasteful number, since it uses less digits than its factorization.

101111010211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117507882.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101111010211111 its reverse (111112010111101), we get a palindrome (212223020322212).

The spelling of 101111010211111 in words is "one hundred one trillion, one hundred eleven billion, ten million, two hundred eleven thousand, one hundred eleven".