201210012000101 has 16 divisors (see below), whose sum is σ = 217020706854000. Its totient is φ = 185446954925568.

The previous prime is 201210012000097. The next prime is 201210012000119. The reversal of 201210012000101 is 101000210012102.

It can be written as a sum of positive squares in 8 ways, for example, as 57107417733025 + 144102594267076 = 7556945^2 + 12004274^2 .

It is a cyclic number.

It is not a de Polignac number, because 201210012000101 - 2² = 201210012000097 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 (201210012000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71892785 + ... + 74639081.

It is an arithmetic number, because the mean of its divisors is an integer number (13563794178375).

Almost surely, 2^{201210012000101} is an apocalyptic number.

It is an amenable number.

201210012000101 is a deficient number, since it is larger than the sum of its proper divisors (15810694853899).

201210012000101 is a wasteful number, since it uses less digits than its factorization.

201210012000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754968.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201210012000101 its reverse (101000210012102), we get a palindrome (302210222012203).

The spelling of 201210012000101 in words is "two hundred one trillion, two hundred ten billion, twelve million, one hundred one", and thus it is an aban number.