101112221001012 has 192 divisors, whose sum is σ = 261842326437888. Its totient is φ = 30170247552000.

The previous prime is 101112221000953. The next prime is 101112221001017. The reversal of 101112221001012 is 210100122211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112221000982 and 101112221001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112221001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746991523 + ... + 747126869.

It is an arithmetic number, because the mean of its divisors is an integer number (1363762116864).

Almost surely, 2^{101112221001012} is an apocalyptic number.

101112221001012 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 101112221001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130921163218944).

101112221001012 is an abundant number, since it is smaller than the sum of its proper divisors (160730105436876).

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

101112221001012 is a wasteful number, since it uses less digits than its factorization.

101112221001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136110 (or 136108 counting only the distinct ones).

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

Adding to 101112221001012 its reverse (210100122211101), we get a palindrome (311212343212113).

The spelling of 101112221001012 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, one thousand, twelve".