101100122120020 has 72 divisors (see below), whose sum is σ = 225674097941376. Its totient is φ = 38037534306816.

The previous prime is 101100122120009. The next prime is 101100122120059. The reversal of 101100122120020 is 20021221001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846217 + ... + 14730703.

It is an arithmetic number, because the mean of its divisors is an integer number (3134362471408).

Almost surely, 2^{101100122120020} is an apocalyptic number.

101100122120020 is a gapful number since it is divisible by the number (10) 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 101100122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112837048970688).

101100122120020 is an abundant number, since it is smaller than the sum of its proper divisors (124573975821356).

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

101100122120020 is a wasteful number, since it uses less digits than its factorization.

101100122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886137 (or 10886118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100122120020 its reverse (20021221001101), we get a palindrome (121121343121121).

The spelling of 101100122120020 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty thousand, twenty".