102221312301 has 12 divisors (see below), whose sum is σ = 149114918940. Its totient is φ = 67472812800.

The previous prime is 102221312293. The next prime is 102221312317. The reversal of 102221312301 is 103213122201.

102221312301 is a `hidden beast` number, since 10 + 22 + 21 + 312 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44668822500 + 57552489801 = 211350^2 + 239901^2 .

It is not a de Polignac number, because 102221312301 - 2³ = 102221312293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221312351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56226436 + ... + 56228253.

It is an arithmetic number, because the mean of its divisors is an integer number (12426243245).

Almost surely, 2^102221312301 is an apocalyptic number.

It is an amenable number.

102221312301 is a deficient number, since it is larger than the sum of its proper divisors (46893606639).

102221312301 is a wasteful number, since it uses less digits than its factorization.

102221312301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112454796 (or 112454793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102221312301 its reverse (103213122201), we get a palindrome (205434434502).

The spelling of 102221312301 in words is "one hundred two billion, two hundred twenty-one million, three hundred twelve thousand, three hundred one".