201002221122102 has 320 divisors, whose sum is σ = 498732755558400. Its totient is φ = 60225027932160.

The previous prime is 201002221122089. The next prime is 201002221122167. The reversal of 201002221122102 is 201221122200102.

It is a happy number.

201002221122102 is a `hidden beast` number, since 20 + 100 + 222 + 112 + 210 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18136078653 + ... + 18136089735.

It is an arithmetic number, because the mean of its divisors is an integer number (1558539861120).

Almost surely, 2^{201002221122102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002221122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249366377779200).

201002221122102 is an abundant number, since it is smaller than the sum of its proper divisors (297730534436298).

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

201002221122102 is a wasteful number, since it uses less digits than its factorization.

201002221122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913 (or 13904 counting only the distinct ones).

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

Adding to 201002221122102 its reverse (201221122200102), we get a palindrome (402223343322204).

The spelling of 201002221122102 in words is "two hundred one trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred two".