101112121111112 has 32 divisors (see below), whose sum is σ = 197841163608000. Its totient is φ = 48354768606144.

The previous prime is 101112121111103. The next prime is 101112121111117. The reversal of 101112121111112 is 211111121211101.

It is a happy number.

It is a super-2 number, since 2×101112121111112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112121111117) 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, 15407987 + ... + 20967362.

It is an arithmetic number, because the mean of its divisors is an integer number (6182536362750).

Almost surely, 2^{101112121111112} is an apocalyptic number.

It is an amenable number.

101112121111112 is a deficient number, since it is larger than the sum of its proper divisors (96729042496888).

101112121111112 is a wasteful number, since it uses less digits than its factorization.

101112121111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36390485 (or 36390481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 101112121111112 its reverse (211111121211101), we get a palindrome (312223242322213).

The spelling of 101112121111112 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".