101201201210112 has 72 divisors (see below), whose sum is σ = 269388920478720. Its totient is φ = 33727954928640.

The previous prime is 101201201210093. The next prime is 101201201210231. The reversal of 101201201210112 is 211012102102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101201201210091 and 101201201210100.

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, 6799464 + ... + 15768167.

Almost surely, 2^{101201201210112} is an apocalyptic number.

101201201210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201201210112 is an abundant number, since it is smaller than the sum of its proper divisors (168187719268608).

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

101201201210112 is an equidigital number, since it uses as much as digits as its factorization.

101201201210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573489 (or 22573475 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201201210112 its reverse (211012102102101), we get a palindrome (312213303312213).

The spelling of 101201201210112 in words is "one hundred one trillion, two hundred one billion, two hundred one million, two hundred ten thousand, one hundred twelve".