202200212012121 has 6 divisors (see below), whose sum is σ = 292066972906410. Its totient is φ = 134800141341408.

The previous prime is 202200212012119. The next prime is 202200212012189. The reversal of 202200212012121 is 121210212002202.

It is a happy number.

202200212012121 is a `hidden beast` number, since 20 + 220 + 0 + 212 + 0 + 1 + 212 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199089701307225 + 3110510704896 = 14109915^2 + 1763664^2 .

It is not a de Polignac number, because 202200212012121 - 2¹ = 202200212012119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202200212012094 and 202200212012103.

It is not an unprimeable number, because it can be changed into a prime (202200212012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11233345111776 + ... + 11233345111793.

It is an arithmetic number, because the mean of its divisors is an integer number (48677828817735).

Almost surely, 2^{202200212012121} is an apocalyptic number.

It is an amenable number.

202200212012121 is a deficient number, since it is larger than the sum of its proper divisors (89866760894289).

202200212012121 is a wasteful number, since it uses less digits than its factorization.

202200212012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22466690223575 (or 22466690223572 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202200212012121 its reverse (121210212002202), we get a palindrome (323410424014323).

The spelling of 202200212012121 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, twelve thousand, one hundred twenty-one".