200121222121002 has 288 divisors, whose sum is σ = 557918424567504. Its totient is φ = 51348013516800.

The previous prime is 200121222120991. The next prime is 200121222121003.

It is a happy number.

200121222121002 is a `hidden beast` number, since 20 + 0 + 1 + 212 + 221 + 210 + 0 + 2 = 666.

200121222121002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 26785065334041 + 173336156786961 = 5175429^2 + 13165719^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200121222121003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8493737302 + ... + 8493760862.

Almost surely, 2^{200121222121002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121222121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278959212283752).

200121222121002 is an abundant number, since it is smaller than the sum of its proper divisors (357797202446502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200121222121002 is a wasteful number, since it uses less digits than its factorization.

200121222121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43654 (or 43644 counting only the distinct ones).

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

The spelling of 200121222121002 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, two".