101210101112 has 32 divisors (see below), whose sum is σ = 190304428800. Its totient is φ = 50462460000.

The previous prime is 101210101081. The next prime is 101210101219. The reversal of 101210101112 is 211101012101.

101210101112 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 = 101210101093 and 101210101102.

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, 4139339 + ... + 4163717.

It is an arithmetic number, because the mean of its divisors is an integer number (5947013400).

Almost surely, 2^101210101112 is an apocalyptic number.

It is an amenable number.

101210101112 is a deficient number, since it is larger than the sum of its proper divisors (89094327688).

101210101112 is a wasteful number, since it uses less digits than its factorization.

101210101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25823 counting only the distinct ones).

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

Adding to 101210101112 its reverse (211101012101), we get a palindrome (312311113213).

The spelling of 101210101112 in words is "one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twelve".