200120001000201 has 12 divisors (see below), whose sum is σ = 289143489449412. Its totient is φ = 133375826715936.

The previous prime is 200120001000173. The next prime is 200120001000233. The reversal of 200120001000201 is 102000100021002.

It can be written as a sum of positive squares in 2 ways, for example, as 8260824447225 + 191859176552976 = 2874165^2 + 13851324^2 .

It is not a de Polignac number, because 200120001000201 - 2¹⁸ = 200120000738057 is a prime.

It is a super-3 number, since 3×200120001000201³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200120001000251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3125573226 + ... + 3125637251.

It is an arithmetic number, because the mean of its divisors is an integer number (24095290787451).

Almost surely, 2^{200120001000201} is an apocalyptic number.

It is an amenable number.

200120001000201 is a deficient number, since it is larger than the sum of its proper divisors (89023488449211).

200120001000201 is a wasteful number, since it uses less digits than its factorization.

200120001000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251214040 (or 6251214037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200120001000201 its reverse (102000100021002), we get a palindrome (302120101021203).

The spelling of 200120001000201 in words is "two hundred trillion, one hundred twenty billion, one million, two hundred one", and thus it is an aban number.