10213145712 has 160 divisors (see below), whose sum is σ = 36549327360. Its totient is φ = 2652756480.

The previous prime is 10213145711. The next prime is 10213145713. The reversal of 10213145712 is 21754131201.

It is an interprime number because it is at equal distance from previous prime (10213145711) and next prime (10213145713).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213145711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120253 + ... + 186780.

It is an arithmetic number, because the mean of its divisors is an integer number (228433296).

Almost surely, 2^10213145712 is an apocalyptic number.

10213145712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213145712 is an abundant number, since it is smaller than the sum of its proper divisors (26336181648).

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

10213145712 is a wasteful number, since it uses less digits than its factorization.

10213145712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307068 (or 307056 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10213145712 its reverse (21754131201), we get a palindrome (31967276913).

The spelling of 10213145712 in words is "ten billion, two hundred thirteen million, one hundred forty-five thousand, seven hundred twelve".