101222200103301 has 48 divisors (see below), whose sum is σ = 150884287929648. Its totient is φ = 65349249638400.

The previous prime is 101222200103281. The next prime is 101222200103327. The reversal of 101222200103301 is 103301002222101.

101222200103301 is a `hidden beast` number, since 1 + 0 + 122 + 2 + 200 + 10 + 330 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23408895299076 + 77813304804225 = 4838274^2 + 8821185^2 .

It is not a de Polignac number, because 101222200103301 - 2¹⁰ = 101222200102277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222200103501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55706361 + ... + 57494721.

It is an arithmetic number, because the mean of its divisors is an integer number (3143422665201).

Almost surely, 2^{101222200103301} is an apocalyptic number.

It is an amenable number.

101222200103301 is a deficient number, since it is larger than the sum of its proper divisors (49662087826347).

101222200103301 is a wasteful number, since it uses less digits than its factorization.

101222200103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789542 (or 1789539 counting only the distinct ones).

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

Adding to 101222200103301 its reverse (103301002222101), we get a palindrome (204523202325402).

The spelling of 101222200103301 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred million, one hundred three thousand, three hundred one".