201102102001122 has 128 divisors (see below), whose sum is σ = 476048004249600. Its totient is φ = 55413986374656.

The previous prime is 201102102001081. The next prime is 201102102001133. The reversal of 201102102001122 is 221100201201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3985430329 + ... + 3985480787.

It is an arithmetic number, because the mean of its divisors is an integer number (3719125033200).

Almost surely, 2^{201102102001122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102102001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238024002124800).

201102102001122 is an abundant number, since it is smaller than the sum of its proper divisors (274945902248478).

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

201102102001122 is a wasteful number, since it uses less digits than its factorization.

201102102001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54120.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102102001122 its reverse (221100201201102), we get a palindrome (422202303202224).

The spelling of 201102102001122 in words is "two hundred one trillion, one hundred two billion, one hundred two million, one thousand, one hundred twenty-two".