101201222021201 has 8 divisors (see below), whose sum is σ = 109963976390400. Its totient is φ = 92782105078320.

The previous prime is 101201222021191. The next prime is 101201222021261. The reversal of 101201222021201 is 102120222102101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201222021201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101201222021201.

It is not an unprimeable number, because it can be changed into a prime (101201222021261) 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 7 ways as a sum of consecutive naturals, for example, 85909355966 + ... + 85909357143.

It is an arithmetic number, because the mean of its divisors is an integer number (13745497048800).

Almost surely, 2^{101201222021201} is an apocalyptic number.

It is an amenable number.

101201222021201 is a deficient number, since it is larger than the sum of its proper divisors (8762754369199).

101201222021201 is a wasteful number, since it uses less digits than its factorization.

101201222021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171818713159.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101201222021201 its reverse (102120222102101), we get a palindrome (203321444123302).

The spelling of 101201222021201 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-two million, twenty-one thousand, two hundred one".