201002022122100 has 144 divisors (see below), whose sum is σ = 612249205209600. Its totient is φ = 50773268085120.

The previous prime is 201002022122087. The next prime is 201002022122117. The reversal of 201002022122100 is 1221220200102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201002022122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44703057 + ... + 48993543.

Almost surely, 2^{201002022122100} is an apocalyptic number.

201002022122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306124602604800).

201002022122100 is an abundant number, since it is smaller than the sum of its proper divisors (411247183087500).

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

201002022122100 is a wasteful number, since it uses less digits than its factorization.

201002022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298742 (or 4298735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201002022122100 its reverse (1221220200102), we get a palindrome (202223242322202).

The spelling of 201002022122100 in words is "two hundred one trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred".