201122002221102 has 120 divisors (see below), whose sum is σ = 478911262450896. Its totient is φ = 63073365645312.

The previous prime is 201122002221067. The next prime is 201122002221181. The reversal of 201122002221102 is 201122200221102.

It is a happy number.

201122002221102 is a `hidden beast` number, since 20 + 112 + 200 + 222 + 110 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123869758 + ... + 125482910.

Almost surely, 2^{201122002221102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122002221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239455631225448).

201122002221102 is an abundant number, since it is smaller than the sum of its proper divisors (277789260229794).

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

201122002221102 is a wasteful number, since it uses less digits than its factorization.

201122002221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615864 (or 1615838 counting only the distinct ones).

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

Adding to 201122002221102 its reverse (201122200221102), we get a palindrome (402244202442204).

The spelling of 201122002221102 in words is "two hundred one trillion, one hundred twenty-two billion, two million, two hundred twenty-one thousand, one hundred two".