200200222122121 has 32 divisors (see below), whose sum is σ = 224493211577376. Its totient is φ = 177326364672000.

The previous prime is 200200222122113. The next prime is 200200222122139. The reversal of 200200222122121 is 121221222002002.

200200222122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 176075277880896 + 24124944241225 = 13269336^2 + 4911715^2 .

It is a cyclic number.

It is not a de Polignac number, because 200200222122121 - 2³ = 200200222122113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200200222122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553873365 + ... + 554234701.

It is an arithmetic number, because the mean of its divisors is an integer number (7015412861793).

Almost surely, 2^{200200222122121} is an apocalyptic number.

It is an amenable number.

200200222122121 is a deficient number, since it is larger than the sum of its proper divisors (24292989455255).

200200222122121 is a wasteful number, since it uses less digits than its factorization.

200200222122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378493.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200200222122121 its reverse (121221222002002), we get a palindrome (321421444124123).

The spelling of 200200222122121 in words is "two hundred trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".