201200001000101 has 8 divisors (see below), whose sum is σ = 209031227921880. Its totient is φ = 193428327135232.

The previous prime is 201200001000049. The next prime is 201200001000151. The reversal of 201200001000101 is 101000100002102.

It can be written as a sum of positive squares in 4 ways, for example, as 3857237080225 + 197342763919876 = 1963985^2 + 14047874^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-201200001000101 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 (201200001000151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14888257340 + ... + 14888270853.

It is an arithmetic number, because the mean of its divisors is an integer number (26128903490235).

Almost surely, 2^{201200001000101} is an apocalyptic number.

It is an amenable number.

201200001000101 is a deficient number, since it is larger than the sum of its proper divisors (7831226921779).

201200001000101 is a wasteful number, since it uses less digits than its factorization.

201200001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29776528455.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201200001000101 its reverse (101000100002102), we get a palindrome (302200101002203).

The spelling of 201200001000101 in words is "two hundred one trillion, two hundred billion, one million, one hundred one", and thus it is an aban number.