201010012010010 has 256 divisors, whose sum is σ = 648978755374080. Its totient is φ = 43219729612800.

The previous prime is 201010012009979. The next prime is 201010012010011. The reversal of 201010012010010 is 10010210010102.

It is a happy number.

201010012010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201010012009974 and 201010012010001.

It is not an unprimeable number, because it can be changed into a prime (201010012010011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59433642 + ... + 62724618.

It is an arithmetic number, because the mean of its divisors is an integer number (2535073263180).

Almost surely, 2^{201010012010010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010012010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324489377687040).

201010012010010 is an abundant number, since it is smaller than the sum of its proper divisors (447968743364070).

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

201010012010010 is a wasteful number, since it uses less digits than its factorization.

201010012010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292918 (or 3292912 counting only the distinct ones).

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

Adding to 201010012010010 its reverse (10010210010102), we get a palindrome (211020222020112).

The spelling of 201010012010010 in words is "two hundred one trillion, ten billion, twelve million, ten thousand, ten".