101202221220112 has 40 divisors (see below), whose sum is σ = 196488637594200. Its totient is φ = 50495534656512.

The previous prime is 101202221220097. The next prime is 101202221220203. The reversal of 101202221220112 is 211022122202101.

It can be written as a sum of positive squares in 4 ways, for example, as 18371544729616 + 82830676490496 = 4286204^2 + 9101136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101202221220112.

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, 25818714 + ... + 29478982.

It is an arithmetic number, because the mean of its divisors is an integer number (4912215939855).

Almost surely, 2^{101202221220112} is an apocalyptic number.

It is an amenable number.

101202221220112 is a deficient number, since it is larger than the sum of its proper divisors (95286416374088).

101202221220112 is a wasteful number, since it uses less digits than its factorization.

101202221220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663883 (or 3663877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101202221220112 its reverse (211022122202101), we get a palindrome (312224343422213).

The spelling of 101202221220112 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twelve".