20101100121100 has 108 divisors (see below), whose sum is σ = 45026709271096. Its totient is φ = 7788231060480.

The previous prime is 20101100121097. The next prime is 20101100121121. The reversal of 20101100121100 is 112100110102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20958247 + ... + 21896353.

Almost surely, 2^{20101100121100} is an apocalyptic number.

20101100121100 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 20101100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513354635548).

20101100121100 is an abundant number, since it is smaller than the sum of its proper divisors (24925609149996).

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

20101100121100 is a wasteful number, since it uses less digits than its factorization.

20101100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938312 (or 938258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101100121100 its reverse (112100110102), we get a palindrome (20213200231202).

The spelling of 20101100121100 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred".