101321220110201 has 24 divisors (see below), whose sum is σ = 128053153504584. Its totient is φ = 79456804277760.

The previous prime is 101321220110171. The next prime is 101321220110203. The reversal of 101321220110201 is 102011022123101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43645477225 + 101277574632976 = 208915^2 + 10063676^2 .

It is not a de Polignac number, because 101321220110201 - 2²² = 101321215915897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101321220110201.

It is not an unprimeable number, because it can be changed into a prime (101321220110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703733330 + ... + 703877291.

It is an arithmetic number, because the mean of its divisors is an integer number (5335548062691).

Almost surely, 2^{101321220110201} is an apocalyptic number.

It is an amenable number.

101321220110201 is a deficient number, since it is larger than the sum of its proper divisors (26731933394383).

101321220110201 is a wasteful number, since it uses less digits than its factorization.

101321220110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407610761 (or 1407610754 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101321220110201 its reverse (102011022123101), we get a palindrome (203332242233302).

The spelling of 101321220110201 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, two hundred one".