202121100202001 has 8 divisors (see below), whose sum is σ = 204122658253800. Its totient is φ = 200119549190400.

The previous prime is 202121100201991. The next prime is 202121100202103. The reversal of 202121100202001 is 100202001121202.

It can be written as a sum of positive squares in 4 ways, for example, as 96122729808400 + 105998370393601 = 9804220^2 + 10295551^2 .

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-202121100202001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202121100282001) 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 7 ways as a sum of consecutive naturals, for example, 70600265 + ... + 73407353.

It is an arithmetic number, because the mean of its divisors is an integer number (25515332281725).

Almost surely, 2^{202121100202001} is an apocalyptic number.

It is an amenable number.

202121100202001 is a deficient number, since it is larger than the sum of its proper divisors (2001558051799).

202121100202001 is a wasteful number, since it uses less digits than its factorization.

202121100202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520099.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202121100202001 its reverse (100202001121202), we get a palindrome (302323101323203).

The spelling of 202121100202001 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, one".