10213122000000 has 448 divisors, whose sum is σ = 34017680193120. Its totient is φ = 2714880000000.

The previous prime is 10213121999953. The next prime is 10213122000047. The reversal of 10213122000000 is 22131201.

It is an interprime number because it is at equal distance from previous prime (10213121999953) and next prime (10213122000047).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10213122000000.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2021997475 + ... + 2022002525.

Almost surely, 2^{10213122000000} is an apocalyptic number.

10213122000000 is a gapful number since it is divisible by the number (10) 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 10213122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008840096560).

10213122000000 is an abundant number, since it is smaller than the sum of its proper divisors (23804558193120).

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

10213122000000 is an frugal number, since it uses more digits than its factorization.

10213122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10213122000000 its reverse (22131201), we get a palindrome (10213144131201).

The spelling of 10213122000000 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-two million", and thus it is an aban number.