201210011000010 has 256 divisors, whose sum is σ = 552288772638720. Its totient is φ = 52102705213440.

The previous prime is 201210010999909. The next prime is 201210011000029. The reversal of 201210011000010 is 10000110012102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201210010999956 and 201210011000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 830731284 + ... + 830973456.

It is an arithmetic number, because the mean of its divisors is an integer number (2157378018120).

Almost surely, 2^{201210011000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210011000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276144386319360).

201210011000010 is an abundant number, since it is smaller than the sum of its proper divisors (351078761638710).

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

201210011000010 is a wasteful number, since it uses less digits than its factorization.

201210011000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242750 (or 242744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201210011000010 its reverse (10000110012102), we get a palindrome (211210121012112).

The spelling of 201210011000010 in words is "two hundred one trillion, two hundred ten billion, eleven million, ten", and thus it is an aban number.