101112012110 has 64 divisors (see below), whose sum is σ = 188985139200. Its totient is φ = 38909116800.

The previous prime is 101112012101. The next prime is 101112012119. The reversal of 101112012110 is 11210211101.

It is an interprime number because it is at equal distance from previous prime (101112012101) and next prime (101112012119).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112012091 and 101112012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112012119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42322796 + ... + 42325184.

It is an arithmetic number, because the mean of its divisors is an integer number (2952892800).

Almost surely, 2^101112012110 is an apocalyptic number.

101112012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112012110 is a deficient number, since it is larger than the sum of its proper divisors (87873127090).

101112012110 is a wasteful number, since it uses less digits than its factorization.

101112012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112012110 its reverse (11210211101), we get a palindrome (112322223211).

The spelling of 101112012110 in words is "one hundred one billion, one hundred twelve million, twelve thousand, one hundred ten".