101100221110020 has 96 divisors (see below), whose sum is σ = 309147639534720. Its totient is φ = 24482762076160.

The previous prime is 101100221109997. The next prime is 101100221110067. The reversal of 101100221110020 is 20011122001101.

101100221110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101100221110020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101100221109978 and 101100221110005.

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 31 ways as a sum of consecutive naturals, for example, 81831507 + ... + 83057786.

It is an arithmetic number, because the mean of its divisors is an integer number (3220287911820).

Almost surely, 2^{101100221110020} is an apocalyptic number.

101100221110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221110020 is an abundant number, since it is smaller than the sum of its proper divisors (208047418424700).

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

101100221110020 is a wasteful number, since it uses less digits than its factorization.

101100221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164890245 (or 164890243 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100221110020 its reverse (20011122001101), we get a palindrome (121111343111121).

The spelling of 101100221110020 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred ten thousand, twenty".