101022201220 has 48 divisors (see below), whose sum is σ = 219587765040. Its totient is φ = 38993117184.

The previous prime is 101022201193. The next prime is 101022201229. The reversal of 101022201220 is 22102220101.

It is a happy number.

101022201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4901120064 + 96121081156 = 70008^2 + 310034^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101022201220.

It is not an unprimeable number, because it can be changed into a prime (101022201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981652 + ... + 1079668.

It is an arithmetic number, because the mean of its divisors is an integer number (4574745105).

Almost surely, 2^101022201220 is an apocalyptic number.

101022201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022201220 is an abundant number, since it is smaller than the sum of its proper divisors (118565563820).

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

101022201220 is a wasteful number, since it uses less digits than its factorization.

101022201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99832 (or 99830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022201220 its reverse (22102220101), we get a palindrome (123124421321).

The spelling of 101022201220 in words is "one hundred one billion, twenty-two million, two hundred one thousand, two hundred twenty".