101201210221220 has 24 divisors (see below), whose sum is σ = 219850904964600. Its totient is φ = 39084605326592.

The previous prime is 101201210221187. The next prime is 101201210221273. The reversal of 101201210221220 is 22122012102101.

It can be written as a sum of positive squares in 4 ways, for example, as 4491144256 + 101196719076964 = 67016^2 + 10059658^2 .

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 7 ways as a sum of consecutive naturals, for example, 87242422025 + ... + 87242423184.

It is an arithmetic number, because the mean of its divisors is an integer number (9160454373525).

Almost surely, 2^{101201210221220} is an apocalyptic number.

101201210221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201210221220 is an abundant number, since it is smaller than the sum of its proper divisors (118649694743380).

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

101201210221220 is a wasteful number, since it uses less digits than its factorization.

101201210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174484845247 (or 174484845245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101201210221220 its reverse (22122012102101), we get a palindrome (123323222323321).

The spelling of 101201210221220 in words is "one hundred one trillion, two hundred one billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".