101022112113 has 24 divisors (see below), whose sum is σ = 145902591360. Its totient is φ = 62146918080.

The previous prime is 101022112099. The next prime is 101022112133. The reversal of 101022112113 is 311211220101.

It is not a de Polignac number, because 101022112113 - 2¹² = 101022108017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022112092 and 101022112101.

It is not an unprimeable number, because it can be changed into a prime (101022112133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1581448 + ... + 1644086.

It is an arithmetic number, because the mean of its divisors is an integer number (6079274640).

Almost surely, 2^101022112113 is an apocalyptic number.

101022112113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101022112113 is a deficient number, since it is larger than the sum of its proper divisors (44880479247).

101022112113 is a wasteful number, since it uses less digits than its factorization.

101022112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65849 (or 65836 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101022112113 its reverse (311211220101), we get a palindrome (412233332214).

The spelling of 101022112113 in words is "one hundred one billion, twenty-two million, one hundred twelve thousand, one hundred thirteen".