20201200122100 has 36 divisors (see below), whose sum is σ = 44905789743948. Its totient is φ = 7883395168000.

The previous prime is 20201200122001. The next prime is 20201200122109. The reversal of 20201200122100 is 122100210202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5376035802384 + 14825164319716 = 2318628^2 + 3850346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201200122109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2463556891 + ... + 2463565090.

It is an arithmetic number, because the mean of its divisors is an integer number (1247383048443).

Almost surely, 2^{20201200122100} is an apocalyptic number.

20201200122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201200122100 is an abundant number, since it is smaller than the sum of its proper divisors (24704589621848).

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

20201200122100 is a wasteful number, since it uses less digits than its factorization.

20201200122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927122036 (or 4927122029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20201200122100 its reverse (122100210202), we get a palindrome (20323300332302).

The spelling of 20201200122100 in words is "twenty trillion, two hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred".