212100011010121 has 16 divisors (see below), whose sum is σ = 228711115745280. Its totient is φ = 195531199807680.

The previous prime is 212100011010073. The next prime is 212100011010149. The reversal of 212100011010121 is 121010110001212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212100011010121 - 2¹³ = 212100011001929 is a prime.

It is a super-3 number, since 3×212100011010121³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100011010421) 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 15 ways as a sum of consecutive naturals, for example, 105797371 + ... + 107783503.

It is an arithmetic number, because the mean of its divisors is an integer number (14294444734080).

Almost surely, 2^{212100011010121} is an apocalyptic number.

It is an amenable number.

212100011010121 is a deficient number, since it is larger than the sum of its proper divisors (16611104735159).

212100011010121 is a wasteful number, since it uses less digits than its factorization.

212100011010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996776.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212100011010121 its reverse (121010110001212), we get a palindrome (333110121011333).

The spelling of 212100011010121 in words is "two hundred twelve trillion, one hundred billion, eleven million, ten thousand, one hundred twenty-one".