101322231220301 has 48 divisors (see below), whose sum is σ = 134419975293744. Its totient is φ = 75438817929216.

The previous prime is 101322231220297. The next prime is 101322231220307. The reversal of 101322231220301 is 103022132223101.

It can be written as a sum of positive squares in 8 ways, for example, as 20276774844676 + 81045456375625 = 4502974^2 + 9002525^2 .

It is not a de Polignac number, because 101322231220301 - 2² = 101322231220297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322231220307) 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 47 ways as a sum of consecutive naturals, for example, 64775051 + ... + 66320823.

It is an arithmetic number, because the mean of its divisors is an integer number (2800416151953).

Almost surely, 2^{101322231220301} is an apocalyptic number.

It is an amenable number.

101322231220301 is a deficient number, since it is larger than the sum of its proper divisors (33097744073443).

101322231220301 is a wasteful number, since it uses less digits than its factorization.

101322231220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551870 (or 1551863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101322231220301 its reverse (103022132223101), we get a palindrome (204344363443402).

The spelling of 101322231220301 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred thirty-one million, two hundred twenty thousand, three hundred one".