20101201221000 has 128 divisors (see below), whose sum is σ = 66016576828800. Its totient is φ = 5078198188800.

The previous prime is 20101201220939. The next prime is 20101201221001. The reversal of 20101201221000 is 12210210102.

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 (20101201221001) 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 31 ways as a sum of consecutive naturals, for example, 176269327 + ... + 176383326.

It is an arithmetic number, because the mean of its divisors is an integer number (515754506475).

Almost surely, 2^{20101201221000} is an apocalyptic number.

20101201221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101201221000 is an abundant number, since it is smaller than the sum of its proper divisors (45915375607800).

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

20101201221000 is a wasteful number, since it uses less digits than its factorization.

20101201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352652696 (or 352652682 counting only the distinct ones).

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

Adding to 20101201221000 its reverse (12210210102), we get a palindrome (20113411431102).

The spelling of 20101201221000 in words is "twenty trillion, one hundred one billion, two hundred one million, two hundred twenty-one thousand".