201122121221102 has 128 divisors (see below), whose sum is σ = 330887646286848. Its totient is φ = 91335389184000.

The previous prime is 201122121221059. The next prime is 201122121221111.

201122121221102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7658572652 + ... + 7658598912.

It is an arithmetic number, because the mean of its divisors is an integer number (2585059736616).

Almost surely, 2^{201122121221102} is an apocalyptic number.

201122121221102 is a deficient number, since it is larger than the sum of its proper divisors (129765525065746).

201122121221102 is a wasteful number, since it uses less digits than its factorization.

201122121221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26814.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 201122121221102 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred two".