101311121112 has 32 divisors (see below), whose sum is σ = 259167986880. Its totient is φ = 32985015840.

The previous prime is 101311121077. The next prime is 101311121137. The reversal of 101311121112 is 211121113101.

101311121112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101311121091 and 101311121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49083814 + ... + 49085877.

It is an arithmetic number, because the mean of its divisors is an integer number (8098999590).

Almost surely, 2^101311121112 is an apocalyptic number.

101311121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311121112 is an abundant number, since it is smaller than the sum of its proper divisors (157856865768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311121112 is a wasteful number, since it uses less digits than its factorization.

101311121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98169743 (or 98169739 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101311121112 its reverse (211121113101), we get a palindrome (312432234213).

The spelling of 101311121112 in words is "one hundred one billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twelve".