210002120202001 has 8 divisors (see below), whose sum is σ = 211092108044904. Its totient is φ = 208912151884800.

The previous prime is 210002120201999. The next prime is 210002120202023. The reversal of 210002120202001 is 100202021200012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 791786750976 + 209210333451025 = 889824^2 + 14464105^2 .

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 210002120202001 - 2¹ = 210002120201999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210002120202601) 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, 16937151 + ... + 26587051.

It is an arithmetic number, because the mean of its divisors is an integer number (26386513505613).

Almost surely, 2^{210002120202001} is an apocalyptic number.

It is an amenable number.

210002120202001 is a deficient number, since it is larger than the sum of its proper divisors (1089987842903).

210002120202001 is a wasteful number, since it uses less digits than its factorization.

210002120202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762851.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210002120202001 its reverse (100202021200012), we get a palindrome (310204141402013).

The spelling of 210002120202001 in words is "two hundred ten trillion, two billion, one hundred twenty million, two hundred two thousand, one".