210101122001211 has 64 divisors (see below), whose sum is σ = 354156093904896. Its totient is φ = 107951059814400.

The previous prime is 210101122001209. The next prime is 210101122001213. The reversal of 210101122001211 is 112100221101012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210101122001209) and next prime (210101122001213).

It is not a de Polignac number, because 210101122001211 - 2¹ = 210101122001209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210101122001213) 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 63 ways as a sum of consecutive naturals, for example, 8842060 + ... + 22324521.

It is an arithmetic number, because the mean of its divisors is an integer number (5533688967264).

Almost surely, 2^{210101122001211} is an apocalyptic number.

210101122001211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210101122001211 is a deficient number, since it is larger than the sum of its proper divisors (144054971903685).

210101122001211 is a wasteful number, since it uses less digits than its factorization.

210101122001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31167452.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210101122001211 its reverse (112100221101012), we get a palindrome (322201343102223).

The spelling of 210101122001211 in words is "two hundred ten trillion, one hundred one billion, one hundred twenty-two million, one thousand, two hundred eleven".