101313221220 has 72 divisors (see below), whose sum is σ = 307398155064. Its totient is φ = 27009704448.

The previous prime is 101313221209. The next prime is 101313221263. The reversal of 101313221220 is 22122313101.

It can be written as a sum of positive squares in 4 ways, for example, as 30011404644 + 71301816576 = 173238^2 + 267024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101313221193 and 101313221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625272 + ... + 770448.

Almost surely, 2^101313221220 is an apocalyptic number.

101313221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313221220 is an abundant number, since it is smaller than the sum of its proper divisors (206084933844).

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

101313221220 is a wasteful number, since it uses less digits than its factorization.

101313221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149069 (or 149064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101313221220 its reverse (22122313101), we get a palindrome (123435534321).

The spelling of 101313221220 in words is "one hundred one billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".