212120101212201 has 96 divisors (see below), whose sum is σ = 389416318986240. Its totient is φ = 108236715264000.

The previous prime is 212120101212179. The next prime is 212120101212251. The reversal of 212120101212201 is 102212101021212.

212120101212201 is a `hidden beast` number, since 2 + 121 + 201 + 0 + 121 + 220 + 1 = 666.

It is not a de Polignac number, because 212120101212201 - 2¹⁷ = 212120101081129 is a prime.

It is a super-2 number, since 2×212120101212201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212120101212251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64638751 + ... + 67841051.

It is an arithmetic number, because the mean of its divisors is an integer number (4056419989440).

Almost surely, 2^{212120101212201} is an apocalyptic number.

212120101212201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212120101212201 is a deficient number, since it is larger than the sum of its proper divisors (177296217774039).

212120101212201 is a wasteful number, since it uses less digits than its factorization.

212120101212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204967 (or 3204964 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212120101212201 its reverse (102212101021212), we get a palindrome (314332202233413).

The spelling of 212120101212201 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred one million, two hundred twelve thousand, two hundred one".