212101010121 has 128 divisors (see below), whose sum is σ = 410496307200. Its totient is φ = 93748700160.

The previous prime is 212101010111. The next prime is 212101010123. The reversal of 212101010121 is 121010101212.

212101010121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 212101010121 - 2⁵ = 212101010089 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 212101010097 and 212101010106.

It is not an unprimeable number, because it can be changed into a prime (212101010123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2060875 + ... + 2161343.

It is an arithmetic number, because the mean of its divisors is an integer number (3207002400).

Almost surely, 2^212101010121 is an apocalyptic number.

212101010121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212101010121 is a deficient number, since it is larger than the sum of its proper divisors (198395297079).

212101010121 is a wasteful number, since it uses less digits than its factorization.

212101010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100559.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101010121 its reverse (121010101212), we get a palindrome (333111111333).

It can be divided in two parts, 2 and 12101010121, that multiplied together give a palindrome (24202020242).

The spelling of 212101010121 in words is "two hundred twelve billion, one hundred one million, ten thousand, one hundred twenty-one".