202122120200101 has 8 divisors (see below), whose sum is σ = 202179133076184. Its totient is φ = 202065113525760.

The previous prime is 202122120200057. The next prime is 202122120200107. The reversal of 202122120200101 is 101002021221202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85030806076225 + 117091314123876 = 9221215^2 + 10820874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202122120200101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122120200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64031835 + ... + 67114231.

It is an arithmetic number, because the mean of its divisors is an integer number (25272391634523).

Almost surely, 2^{202122120200101} is an apocalyptic number.

It is an amenable number.

202122120200101 is a deficient number, since it is larger than the sum of its proper divisors (57012876083).

202122120200101 is a wasteful number, since it uses less digits than its factorization.

202122120200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100871.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202122120200101 its reverse (101002021221202), we get a palindrome (303124141421303).

It can be divided in two parts, 2021 and 22120200101, that added together give a palindrome (22120202122).

The spelling of 202122120200101 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thousand, one hundred one".