20001122102000 has 320 divisors, whose sum is σ = 52913227086720. Its totient is φ = 7267746816000.

The previous prime is 20001122101997. The next prime is 20001122102011. The reversal of 20001122102000 is 20122110002.

It is a happy number.

It is a super-2 number, since 2×20001122102000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874966571 + ... + 874989429.

It is an arithmetic number, because the mean of its divisors is an integer number (165353834646).

Almost surely, 2^{20001122102000} is an apocalyptic number.

20001122102000 is a gapful number since it is divisible by the number (20) 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 20001122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456613543360).

20001122102000 is an abundant number, since it is smaller than the sum of its proper divisors (32912104984720).

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

20001122102000 is a wasteful number, since it uses less digits than its factorization.

20001122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23429 (or 23413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20001122102000 its reverse (20122110002), we get a palindrome (20021244212002).

The spelling of 20001122102000 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred two thousand".