222101301333001 has 24 divisors (see below), whose sum is σ = 241983497228760. Its totient is φ = 203689656268800.

The previous prime is 222101301332987. The next prime is 222101301333013. The reversal of 222101301333001 is 100333103101222.

It can be written as a sum of positive squares in 12 ways, for example, as 79126789064976 + 142974512268025 = 8895324^2 + 11957195^2 .

It is not a de Polignac number, because 222101301333001 - 2⁵ = 222101301332969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222101301333091) 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, 1687506 + ... + 21143563.

It is an arithmetic number, because the mean of its divisors is an integer number (10082645717865).

Almost surely, 2^{222101301333001} is an apocalyptic number.

It is an amenable number.

222101301333001 is a deficient number, since it is larger than the sum of its proper divisors (19882195895759).

222101301333001 is a wasteful number, since it uses less digits than its factorization.

222101301333001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22831965 (or 22831948 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 222101301333001 its reverse (100333103101222), we get a palindrome (322434404434223).

The spelling of 222101301333001 in words is "two hundred twenty-two trillion, one hundred one billion, three hundred one million, three hundred thirty-three thousand, one".