202100012121 has 32 divisors (see below), whose sum is σ = 308894515200. Its totient is φ = 115136493120.

The previous prime is 202100012111. The next prime is 202100012129. The reversal of 202100012121 is 121210001202.

202100012121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202100012121 - 2¹⁴ = 202099995737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202100012097 and 202100012106.

It is not an unprimeable number, because it can be changed into a prime (202100012129) 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, 10583260 + ... + 10602338.

It is an arithmetic number, because the mean of its divisors is an integer number (9652953600).

Almost surely, 2^202100012121 is an apocalyptic number.

202100012121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202100012121 is a deficient number, since it is larger than the sum of its proper divisors (106794503079).

202100012121 is a wasteful number, since it uses less digits than its factorization.

202100012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20589.

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

Adding to 202100012121 its reverse (121210001202), we get a palindrome (323310013323).

The spelling of 202100012121 in words is "two hundred two billion, one hundred million, twelve thousand, one hundred twenty-one".