10211323122000 has 5760 divisors, whose sum is σ = 53228551154688. Its totient is φ = 1759739904000.

The previous prime is 10211323121981. The next prime is 10211323122041. The reversal of 10211323122000 is 22132311201.

10211323122000 is a `hidden beast` number, since 1 + 0 + 21 + 132 + 312 + 200 + 0 = 666.

It is a super-2 number, since 2×10211323122000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 192666473974 + ... + 192666474026.

Almost surely, 2^{10211323122000} is an apocalyptic number.

10211323122000 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 10211323122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26614275577344).

10211323122000 is an abundant number, since it is smaller than the sum of its proper divisors (43017228032688).

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

10211323122000 is a wasteful number, since it uses less digits than its factorization.

10211323122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211323122000 its reverse (22132311201), we get a palindrome (10233455433201).

The spelling of 10211323122000 in words is "ten trillion, two hundred eleven billion, three hundred twenty-three million, one hundred twenty-two thousand".