201010121312 has 288 divisors, whose sum is σ = 547858434816. Its totient is φ = 70604835840.

The previous prime is 201010121281. The next prime is 201010121327. The reversal of 201010121312 is 213121010102.

201010121312 is digitally balanced in base 3, 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15144503 + ... + 15157769.

It is an arithmetic number, because the mean of its divisors is an integer number (1902286232).

Almost surely, 2^201010121312 is an apocalyptic number.

201010121312 is a gapful number since it is divisible by the number (22) 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 201010121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273929217408).

201010121312 is an abundant number, since it is smaller than the sum of its proper divisors (346848313504).

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

201010121312 is a wasteful number, since it uses less digits than its factorization.

201010121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 201010121312 its reverse (213121010102), we get a palindrome (414131131414).

The spelling of 201010121312 in words is "two hundred one billion, ten million, one hundred twenty-one thousand, three hundred twelve".