210002120212001 has 16 divisors (see below), whose sum is σ = 227498607257040. Its totient is φ = 193844467514880.

The previous prime is 210002120211953. The next prime is 210002120212039. The reversal of 210002120212001 is 100212021200012.

It can be written as a sum of positive squares in 8 ways, for example, as 197224526632225 + 12777593579776 = 14043665^2 + 3574576^2 .

It is not a de Polignac number, because 210002120212001 - 2²⁶ = 210002053103137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210002120212601) 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, 119702711 + ... + 121444403.

It is an arithmetic number, because the mean of its divisors is an integer number (14218662953565).

Almost surely, 2^{210002120212001} is an apocalyptic number.

It is an amenable number.

210002120212001 is a deficient number, since it is larger than the sum of its proper divisors (17496487045039).

210002120212001 is an equidigital number, since it uses as much as digits as its factorization.

210002120212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796613 (or 1796587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210002120212001 its reverse (100212021200012), we get a palindrome (310214141412013).

The spelling of 210002120212001 in words is "two hundred ten trillion, two billion, one hundred twenty million, two hundred twelve thousand, one".