20201332122300 has 288 divisors, whose sum is σ = 68631622295040. Its totient is φ = 4492387123200.

The previous prime is 20201332122263. The next prime is 20201332122313. The reversal of 20201332122300 is 322123310202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177860 + ... + 12858740.

It is an arithmetic number, because the mean of its divisors is an integer number (238304244080).

Almost surely, 2^{20201332122300} is an apocalyptic number.

20201332122300 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 20201332122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315811147520).

20201332122300 is an abundant number, since it is smaller than the sum of its proper divisors (48430290172740).

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

20201332122300 is a wasteful number, since it uses less digits than its factorization.

20201332122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681061 (or 1681054 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20201332122300 its reverse (322123310202), we get a palindrome (20523455432502).

The spelling of 20201332122300 in words is "twenty trillion, two hundred one billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred".