101004221340 has 288 divisors, whose sum is σ = 351259324416. Its totient is φ = 23269317120.

The previous prime is 101004221333. The next prime is 101004221387. The reversal of 101004221340 is 43122400101.

101004221340 is a `hidden beast` number, since 1 + 0 + 100 + 4 + 221 + 340 = 666.

It is a super-2 number, since 2×101004221340² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3134149 + ... + 3166211.

It is an arithmetic number, because the mean of its divisors is an integer number (1219650432).

Almost surely, 2^101004221340 is an apocalyptic number.

101004221340 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 101004221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175629662208).

101004221340 is an abundant number, since it is smaller than the sum of its proper divisors (250255103076).

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

101004221340 is a wasteful number, since it uses less digits than its factorization.

101004221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32169 (or 32164 counting only the distinct ones).

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

Adding to 101004221340 its reverse (43122400101), we get a palindrome (144126621441).

The spelling of 101004221340 in words is "one hundred one billion, four million, two hundred twenty-one thousand, three hundred forty".