200211121112002 has 96 divisors (see below), whose sum is σ = 406567580832000. Its totient is φ = 71952520337280.

The previous prime is 200211121111979. The next prime is 200211121112003.

200211121112002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×200211121112002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200211121112003) 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 47 ways as a sum of consecutive naturals, for example, 27559524 + ... + 34058032.

It is an arithmetic number, because the mean of its divisors is an integer number (4235078967000).

Almost surely, 2^{200211121112002} is an apocalyptic number.

200211121112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200211121112002 is an abundant number, since it is smaller than the sum of its proper divisors (206356459719998).

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

200211121112002 is a wasteful number, since it uses less digits than its factorization.

200211121112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499952 (or 6499941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 200211121112002 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two".