201002024212100 has 144 divisors (see below), whose sum is σ = 461279313734400. Its totient is φ = 75812959163520.

The previous prime is 201002024212061. The next prime is 201002024212103. The reversal of 201002024212100 is 1212420200102.

It is not an unprimeable number, because it can be changed into a prime (201002024212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629821039 + ... + 1629944361.

It is an arithmetic number, because the mean of its divisors is an integer number (3203328567600).

Almost surely, 2^{201002024212100} is an apocalyptic number.

201002024212100 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 201002024212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230639656867200).

201002024212100 is an abundant number, since it is smaller than the sum of its proper divisors (260277289522300).

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

201002024212100 is a wasteful number, since it uses less digits than its factorization.

201002024212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127362 (or 127355 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201002024212100 its reverse (1212420200102), we get a palindrome (202214444412202).

The spelling of 201002024212100 in words is "two hundred one trillion, two billion, twenty-four million, two hundred twelve thousand, one hundred".