101222322022341 has 24 divisors (see below), whose sum is σ = 160427831139576. Its totient is φ = 61115364236160.

The previous prime is 101222322022337. The next prime is 101222322022351. The reversal of 101222322022341 is 143220223222101.

101222322022341 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 223 + 2 + 202 + 234 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 624330701316 + 100597991321025 = 790146^2 + 10029855^2 .

It is not a de Polignac number, because 101222322022341 - 2² = 101222322022337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222322022301) 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, 8161767870 + ... + 8161780271.

It is an arithmetic number, because the mean of its divisors is an integer number (6684492964149).

Almost surely, 2^{101222322022341} is an apocalyptic number.

It is an amenable number.

101222322022341 is a deficient number, since it is larger than the sum of its proper divisors (59205509117235).

101222322022341 is a wasteful number, since it uses less digits than its factorization.

101222322022341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323548213 (or 16323548210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101222322022341 its reverse (143220223222101), we get a palindrome (244442545244442).

The spelling of 101222322022341 in words is "one hundred one trillion, two hundred twenty-two billion, three hundred twenty-two million, twenty-two thousand, three hundred forty-one".