20010220121000 has 128 divisors (see below), whose sum is σ = 47506449144960. Its totient is φ = 7888190976000.

The previous prime is 20010220120951. The next prime is 20010220121009. The reversal of 20010220121000 is 12102201002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20010220121009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20166515 + ... + 21135485.

It is an arithmetic number, because the mean of its divisors is an integer number (371144133945).

Almost surely, 2^{20010220121000} is an apocalyptic number.

20010220121000 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 20010220121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23753224572480).

20010220121000 is an abundant number, since it is smaller than the sum of its proper divisors (27496229023960).

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

20010220121000 is a wasteful number, since it uses less digits than its factorization.

20010220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969292 (or 969278 counting only the distinct ones).

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

Adding to 20010220121000 its reverse (12102201002), we get a palindrome (20022322322002).

The spelling of 20010220121000 in words is "twenty trillion, ten billion, two hundred twenty million, one hundred twenty-one thousand".