201002101000000 has 294 divisors, whose sum is σ = 529626802526090. Its totient is φ = 75671270400000.

The previous prime is 201002100999877. The next prime is 201002101000027. The reversal of 201002101000000 is 101200102.

201002101000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 21 ways, for example, as 185962968806976 + 15039132193024 = 13636824^2 + 3878032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 288652246 + ... + 289347754.

Almost surely, 2^{201002101000000} is an apocalyptic number.

201002101000000 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 201002101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264813401263045).

201002101000000 is an abundant number, since it is smaller than the sum of its proper divisors (328624701526090).

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

201002101000000 is an frugal number, since it uses more digits than its factorization.

201002101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695585 (or 695533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 201002101000000 its reverse (101200102), we get a palindrome (201002202200102).

The spelling of 201002101000000 in words is "two hundred one trillion, two billion, one hundred one million", and thus it is an aban number.