101220130440 has 1280 divisors, whose sum is σ = 431532541440. Its totient is φ = 20901888000.

The previous prime is 101220130433. The next prime is 101220130441. The reversal of 101220130440 is 44031022101.

101220130440 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 1 + 3 + 0 + 440 = 666.

It is a super-2 number, since 2×101220130440² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101220130441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 559227150 + ... + 559227330.

It is an arithmetic number, because the mean of its divisors is an integer number (337134798).

Almost surely, 2^101220130440 is an apocalyptic number.

101220130440 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 101220130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215766270720).

101220130440 is an abundant number, since it is smaller than the sum of its proper divisors (330312411000).

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

101220130440 is a wasteful number, since it uses less digits than its factorization.

101220130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101220130440 its reverse (44031022101), we get a palindrome (145251152541).

The spelling of 101220130440 in words is "one hundred one billion, two hundred twenty million, one hundred thirty thousand, four hundred forty".