101111000012111 has 8 divisors (see below), whose sum is σ = 104373086619648. Its totient is φ = 97848940995000.

The previous prime is 101111000012089. The next prime is 101111000012123. The reversal of 101111000012111 is 111210000111101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111000012111 - 2¹⁴ = 101110999995727 is a prime.

It is a super-2 number, since 2×101111000012111² (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 = 101111000012092 and 101111000012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000072111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682286 + ... + 14236836.

It is an arithmetic number, because the mean of its divisors is an integer number (13046635827456).

Almost surely, 2^{101111000012111} is an apocalyptic number.

101111000012111 is a deficient number, since it is larger than the sum of its proper divisors (3262086607537).

101111000012111 is a wasteful number, since it uses less digits than its factorization.

101111000012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13795213.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111000012111 its reverse (111210000111101), we get a palindrome (212321000123212).

The spelling of 101111000012111 in words is "one hundred one trillion, one hundred eleven billion, twelve thousand, one hundred eleven".