101011002220112 has 40 divisors (see below), whose sum is σ = 195986048043240. Its totient is φ = 50433996462080.

The previous prime is 101011002220109. The next prime is 101011002220151. The reversal of 101011002220112 is 211022200110101.

It can be written as a sum of positive squares in 4 ways, for example, as 9874652620816 + 91136349599296 = 3142396^2 + 9546536^2 .

It is a super-3 number, since 3×101011002220112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40398062 + ... + 42825522.

It is an arithmetic number, because the mean of its divisors is an integer number (4899651201081).

Almost surely, 2^{101011002220112} is an apocalyptic number.

It is an amenable number.

101011002220112 is a deficient number, since it is larger than the sum of its proper divisors (94975045823128).

101011002220112 is a wasteful number, since it uses less digits than its factorization.

101011002220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431151 (or 2431145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011002220112 its reverse (211022200110101), we get a palindrome (312033202330213).

The spelling of 101011002220112 in words is "one hundred one trillion, eleven billion, two million, two hundred twenty thousand, one hundred twelve".