20202120101000 has 256 divisors, whose sum is σ = 50070584678400. Its totient is φ = 7608004992000.

The previous prime is 20202120100933. The next prime is 20202120101021. The reversal of 20202120101000 is 10102120202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3971320457 + ... + 3971325543.

It is an arithmetic number, because the mean of its divisors is an integer number (195588221400).

Almost surely, 2^{20202120101000} is an apocalyptic number.

20202120101000 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 20202120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035292339200).

20202120101000 is an abundant number, since it is smaller than the sum of its proper divisors (29868464577400).

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

20202120101000 is a wasteful number, since it uses less digits than its factorization.

20202120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6371 counting only the distinct ones).

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

Adding to 20202120101000 its reverse (10102120202), we get a palindrome (20212222221202).

The spelling of 20202120101000 in words is "twenty trillion, two hundred two billion, one hundred twenty million, one hundred one thousand".