201102100202000 has 480 divisors, whose sum is σ = 539372218754304. Its totient is φ = 72368676864000.

The previous prime is 201102100201999. The next prime is 201102100202009. The reversal of 201102100202000 is 202001201102.

It is a happy number.

201102100202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201102100202009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24075429824 + ... + 24075438176.

Almost surely, 2^{201102100202000} is an apocalyptic number.

201102100202000 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 201102100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269686109377152).

201102100202000 is an abundant number, since it is smaller than the sum of its proper divisors (338270118552304).

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

201102100202000 is a wasteful number, since it uses less digits than its factorization.

201102100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201102100202000 its reverse (202001201102), we get a palindrome (201304101403102).

The spelling of 201102100202000 in words is "two hundred one trillion, one hundred two billion, one hundred million, two hundred two thousand".