101012222112012 has 96 divisors (see below), whose sum is σ = 270951193732800. Its totient is φ = 32505218113536.

The previous prime is 101012222111993. The next prime is 101012222112077. The reversal of 101012222112012 is 210211222210101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20644278 + ... + 25064130.

It is an arithmetic number, because the mean of its divisors is an integer number (2822408268050).

Almost surely, 2^{101012222112012} is an apocalyptic number.

101012222112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012222112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475596866400).

101012222112012 is an abundant number, since it is smaller than the sum of its proper divisors (169938971620788).

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

101012222112012 is a wasteful number, since it uses less digits than its factorization.

101012222112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427192 (or 4427184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101012222112012 its reverse (210211222210101), we get a palindrome (311223444322113).

The spelling of 101012222112012 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, one hundred twelve thousand, twelve".