10211322223312 has 240 divisors, whose sum is σ = 24646576268160. Its totient is φ = 4072074854400.

The previous prime is 10211322223303. The next prime is 10211322223321. The reversal of 10211322223312 is 21332222311201.

It is an interprime number because it is at equal distance from previous prime (10211322223303) and next prime (10211322223321).

It is a super-2 number, since 2×10211322223312² (a number of 27 digits) contains 22 as substring.

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, 446463237 + ... + 446486107.

It is an arithmetic number, because the mean of its divisors is an integer number (102694067784).

Almost surely, 2^{10211322223312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211322223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323288134080).

10211322223312 is an abundant number, since it is smaller than the sum of its proper divisors (14435254044848).

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

10211322223312 is a wasteful number, since it uses less digits than its factorization.

10211322223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23290 (or 23277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10211322223312 its reverse (21332222311201), we get a palindrome (31543544534513).

The spelling of 10211322223312 in words is "ten trillion, two hundred eleven billion, three hundred twenty-two million, two hundred twenty-three thousand, three hundred twelve".