20011222101000 has 512 divisors, whose sum is σ = 68710683525120. Its totient is φ = 4818059136000.

The previous prime is 20011222100939. The next prime is 20011222101001. The reversal of 20011222101000 is 10122211002.

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

It is not an unprimeable number, because it can be changed into a prime (20011222101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4969260987 + ... + 4969265013.

It is an arithmetic number, because the mean of its divisors is an integer number (134200553760).

Almost surely, 2^{20011222101000} is an apocalyptic number.

20011222101000 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 20011222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34355341762560).

20011222101000 is an abundant number, since it is smaller than the sum of its proper divisors (48699461424120).

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

20011222101000 is a wasteful number, since it uses less digits than its factorization.

20011222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011222101000 its reverse (10122211002), we get a palindrome (20021344312002).

The spelling of 20011222101000 in words is "twenty trillion, eleven billion, two hundred twenty-two million, one hundred one thousand".