201000021212101 has 8 divisors (see below), whose sum is σ = 204798054625560. Its totient is φ = 197202194472192.

The previous prime is 201000021212083. The next prime is 201000021212117. The reversal of 201000021212101 is 101212120000102.

It can be written as a sum of positive squares in 4 ways, for example, as 127254779087076 + 73745242125025 = 11280726^2 + 8587505^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 201000021212101 - 2¹⁵ = 201000021179333 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 (201000021212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49704216 + ... + 53595793.

It is an arithmetic number, because the mean of its divisors is an integer number (25599756828195).

Almost surely, 2^{201000021212101} is an apocalyptic number.

It is an amenable number.

201000021212101 is a deficient number, since it is larger than the sum of its proper divisors (3798033413459).

201000021212101 is a wasteful number, since it uses less digits than its factorization.

201000021212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103336775.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201000021212101 its reverse (101212120000102), we get a palindrome (302212141212203).

The spelling of 201000021212101 in words is "two hundred one trillion, twenty-one million, two hundred twelve thousand, one hundred one".