101321321220 has 144 divisors (see below), whose sum is σ = 352705761408. Its totient is φ = 23062993920.

The previous prime is 101321321209. The next prime is 101321321237. The reversal of 101321321220 is 22123123101.

101321321220 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 321 + 2 + 20 = 666.

It is a super-3 number, since 3×101321321220³ (a number of 34 digits) contains 333 as substring.

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 = 101321321193 and 101321321202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136827 + ... + 470493.

Almost surely, 2^101321321220 is an apocalyptic number.

101321321220 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 101321321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176352880704).

101321321220 is an abundant number, since it is smaller than the sum of its proper divisors (251384440188).

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

101321321220 is a wasteful number, since it uses less digits than its factorization.

101321321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333930 (or 333925 counting only the distinct ones).

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

Adding to 101321321220 its reverse (22123123101), we get a palindrome (123444444321).

The spelling of 101321321220 in words is "one hundred one billion, three hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".