101112122113 has 8 divisors (see below), whose sum is σ = 107138236032. Its totient is φ = 95094712896.

The previous prime is 101112122101. The next prime is 101112122123. The reversal of 101112122113 is 311221211101.

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 101112122113 - 2⁹ = 101112121601 is a prime.

It is a super-2 number, since 2×101112122113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112122123) 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, 2152245 + ... + 2198722.

It is an arithmetic number, because the mean of its divisors is an integer number (13392279504).

Almost surely, 2^101112122113 is an apocalyptic number.

It is an amenable number.

101112122113 is a deficient number, since it is larger than the sum of its proper divisors (6026113919).

101112122113 is a wasteful number, since it uses less digits than its factorization.

101112122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352351.

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

Adding to 101112122113 its reverse (311221211101), we get a palindrome (412333333214).

The spelling of 101112122113 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".