201122121012002 has 128 divisors (see below), whose sum is σ = 340965780480000. Its totient is φ = 88527217766400.

The previous prime is 201122121011989. The next prime is 201122121012017. The reversal of 201122121012002 is 200210121221102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100735252 + ... + 1100917952.

It is an arithmetic number, because the mean of its divisors is an integer number (2663795160000).

Almost surely, 2^{201122121012002} is an apocalyptic number.

201122121012002 is a deficient number, since it is larger than the sum of its proper divisors (139843659467998).

201122121012002 is a wasteful number, since it uses less digits than its factorization.

201122121012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183084.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201122121012002 its reverse (200210121221102), we get a palindrome (401332242233104).

The spelling of 201122121012002 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, two".