101312330220 has 288 divisors, whose sum is σ = 316613501568. Its totient is φ = 26215612416.

The previous prime is 101312330191. The next prime is 101312330237. The reversal of 101312330220 is 22033213101.

101312330220 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 330 + 2 + 20 = 666.

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 = 101312330193 and 101312330202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300629892 + ... + 300630228.

It is an arithmetic number, because the mean of its divisors is an integer number (1099352436).

Almost surely, 2^101312330220 is an apocalyptic number.

101312330220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158306750784).

101312330220 is an abundant number, since it is smaller than the sum of its proper divisors (215301171348).

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

101312330220 is a wasteful number, since it uses less digits than its factorization.

101312330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101312330220 its reverse (22033213101), we get a palindrome (123345543321).

The spelling of 101312330220 in words is "one hundred one billion, three hundred twelve million, three hundred thirty thousand, two hundred twenty".