101142204321 has 8 divisors (see below), whose sum is σ = 134871010560. Its totient is φ = 67420767152.

The previous prime is 101142204257. The next prime is 101142204337. The reversal of 101142204321 is 123402241101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101142204321 - 2⁶ = 101142204257 is a prime.

It is a super-2 number, since 2×101142204321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101142204421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1810161 + ... + 1865198.

It is an arithmetic number, because the mean of its divisors is an integer number (16858876320).

Almost surely, 2^101142204321 is an apocalyptic number.

It is an amenable number.

101142204321 is a deficient number, since it is larger than the sum of its proper divisors (33728806239).

101142204321 is an equidigital number, since it uses as much as digits as its factorization.

101142204321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684535.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101142204321 its reverse (123402241101), we get a palindrome (224544445422).

The spelling of 101142204321 in words is "one hundred one billion, one hundred forty-two million, two hundred four thousand, three hundred twenty-one".