101112211123 has 16 divisors (see below), whose sum is σ = 126098219520. Its totient is φ = 78766084800.

The previous prime is 101112211117. The next prime is 101112211129. The reversal of 101112211123 is 321112211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112211117) and next prime (101112211129).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112211123 is a prime.

It is a super-2 number, since 2×101112211123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112211097 and 101112211106.

It is not an unprimeable number, because it can be changed into a prime (101112211129) 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, 83343 + ... + 457351.

It is an arithmetic number, because the mean of its divisors is an integer number (7881138720).

Almost surely, 2^101112211123 is an apocalyptic number.

101112211123 is a deficient number, since it is larger than the sum of its proper divisors (24986008397).

101112211123 is a wasteful number, since it uses less digits than its factorization.

101112211123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377538.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101112211123 its reverse (321112211101), we get a palindrome (422224422224).

The spelling of 101112211123 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-three".