212000010022101 has 32 divisors (see below), whose sum is σ = 324813706756096. Its totient is φ = 120481417224000.

The previous prime is 212000010022081. The next prime is 212000010022121. The reversal of 212000010022101 is 101220010000212.

It is an interprime number because it is at equal distance from previous prime (212000010022081) and next prime (212000010022121).

It is not a de Polignac number, because 212000010022101 - 2¹⁵ = 212000009989333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000010022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11203285 + ... + 23441706.

It is an arithmetic number, because the mean of its divisors is an integer number (10150428336128).

Almost surely, 2^{212000010022101} is an apocalyptic number.

212000010022101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212000010022101 is a deficient number, since it is larger than the sum of its proper divisors (112813696733995).

212000010022101 is a wasteful number, since it uses less digits than its factorization.

212000010022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34646593.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000010022101 its reverse (101220010000212), we get a palindrome (313220020022313).

The spelling of 212000010022101 in words is "two hundred twelve trillion, ten million, twenty-two thousand, one hundred one".