101101200221220 has 96 divisors (see below), whose sum is σ = 283511548293120. Its totient is φ = 26919544122240.

The previous prime is 101101200221167. The next prime is 101101200221227. The reversal of 101101200221220 is 22122002101101.

101101200221220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101200221220.

It is not an unprimeable number, because it can be changed into a prime (101101200221227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089652791 + ... + 1089745569.

It is an arithmetic number, because the mean of its divisors is an integer number (2953245294720).

Almost surely, 2^{101101200221220} is an apocalyptic number.

101101200221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101200221220 is an abundant number, since it is smaller than the sum of its proper divisors (182410348071900).

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

101101200221220 is a wasteful number, since it uses less digits than its factorization.

101101200221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120065 (or 120063 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101101200221220 its reverse (22122002101101), we get a palindrome (123223202322321).

The spelling of 101101200221220 in words is "one hundred one trillion, one hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".