200002120102001 has 12 divisors (see below), whose sum is σ = 232709772412260. Its totient is φ = 171390418698240.

The previous prime is 200002120101967. The next prime is 200002120102007. The reversal of 200002120102001 is 100201021200002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 182450503115776 + 17551616986225 = 13507424^2 + 4189465^2 .

It is not a de Polignac number, because 200002120102001 - 2²² = 200002115907697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200002120102007) 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, 475620560 + ... + 476040881.

It is an arithmetic number, because the mean of its divisors is an integer number (19392481034355).

Almost surely, 2^{200002120102001} is an apocalyptic number.

It is an amenable number.

200002120102001 is a deficient number, since it is larger than the sum of its proper divisors (32707652310259).

200002120102001 is an equidigital number, since it uses as much as digits as its factorization.

200002120102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951665744 (or 951665737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200002120102001 its reverse (100201021200002), we get a palindrome (300203141302003).

The spelling of 200002120102001 in words is "two hundred trillion, two billion, one hundred twenty million, one hundred two thousand, one".