201002130000000 has 1536 divisors, whose sum is σ = 848720702269440. Its totient is φ = 44696448000000.

The previous prime is 201002129999981. The next prime is 201002130000013. The reversal of 201002130000000 is 31200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 23309995689 + ... + 23310004311.

It is an arithmetic number, because the mean of its divisors is an integer number (552552540540).

Almost surely, 2^{201002130000000} is an apocalyptic number.

201002130000000 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 201002130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424360351134720).

201002130000000 is an abundant number, since it is smaller than the sum of its proper divisors (647718572269440).

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

201002130000000 is an frugal number, since it uses more digits than its factorization.

201002130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201002130000000 its reverse (31200102), we get a palindrome (201002161200102).

The spelling of 201002130000000 in words is "two hundred one trillion, two billion, one hundred thirty million", and thus it is an aban number.