20201100121100 has 72 divisors (see below), whose sum is σ = 44106333014016. Its totient is φ = 8030758120000.

The previous prime is 20201100121073. The next prime is 20201100121133. The reversal of 20201100121100 is 112100110202.

It is a super-2 number, since 2×20201100121100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20353385 + ... + 21322815.

It is an arithmetic number, because the mean of its divisors is an integer number (612587958528).

Almost surely, 2^{20201100121100} is an apocalyptic number.

20201100121100 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 20201100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22053166507008).

20201100121100 is an abundant number, since it is smaller than the sum of its proper divisors (23905232892916).

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

20201100121100 is a wasteful number, since it uses less digits than its factorization.

20201100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970727 (or 970720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20201100121100 its reverse (112100110202), we get a palindrome (20313200231302).

The spelling of 20201100121100 in words is "twenty trillion, two hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred".