101210112100112 has 20 divisors (see below), whose sum is σ = 196305673592220. Its totient is φ = 50550583431168.

The previous prime is 101210112100057. The next prime is 101210112100129. The reversal of 101210112100112 is 211001211012101.

It can be written as a sum of positive squares in 2 ways, for example, as 54159237615616 + 47050874484496 = 7359296^2 + 6859364^2 .

It is a super-3 number, since 3×101210112100112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 3404523353 + ... + 3404553080.

It is an arithmetic number, because the mean of its divisors is an integer number (9815283679611).

Almost surely, 2^{101210112100112} is an apocalyptic number.

It is an amenable number.

101210112100112 is a deficient number, since it is larger than the sum of its proper divisors (95095561492108).

101210112100112 is an equidigital number, since it uses as much as digits as its factorization.

101210112100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809077370 (or 6809077364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101210112100112 its reverse (211001211012101), we get a palindrome (312211323112213).

The spelling of 101210112100112 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred thousand, one hundred twelve".