201002202200100 has 144 divisors (see below), whose sum is σ = 664825640880128. Its totient is φ = 45931031544960.

The previous prime is 201002202200081. The next prime is 201002202200119. The reversal of 201002202200100 is 1002202200102.

201002202200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201002202200081) and next prime (201002202200119).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5014102 + ... + 20667501.

Almost surely, 2^{201002202200100} is an apocalyptic number.

201002202200100 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 201002202200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332412820440064).

201002202200100 is an abundant number, since it is smaller than the sum of its proper divisors (463823438680028).

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

201002202200100 is a wasteful number, since it uses less digits than its factorization.

201002202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25685354 (or 25685347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201002202200100 its reverse (1002202200102), we get a palindrome (202004404400202).

The spelling of 201002202200100 in words is "two hundred one trillion, two billion, two hundred two million, two hundred thousand, one hundred".