200122121221002 has 192 divisors, whose sum is σ = 481419488534400. Its totient is φ = 59847769382400.

The previous prime is 200122121220971. The next prime is 200122121221027.

It is a happy number.

200122121221002 is a `hidden beast` number, since 20 + 0 + 1 + 221 + 212 + 210 + 0 + 2 = 666.

200122121221002 is nontrivially palindromic in base 10.

200122121221002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74078208 + ... + 76732164.

It is an arithmetic number, because the mean of its divisors is an integer number (2507393169450).

Almost surely, 2^{200122121221002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200122121221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240709744267200).

200122121221002 is an abundant number, since it is smaller than the sum of its proper divisors (281297367313398).

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

200122121221002 is a wasteful number, since it uses less digits than its factorization.

200122121221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654181 (or 2654178 counting only the distinct ones).

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

The spelling of 200122121221002 in words is "two hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two".