100121322131 has 8 divisors (see below), whose sum is σ = 100258833024. Its totient is φ = 99983862720.

The previous prime is 100121322101. The next prime is 100121322143. The reversal of 100121322131 is 131223121001.

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 100121322131 - 2¹⁰ = 100121321107 is a prime.

It is a super-2 number, since 2×100121322131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121322101) 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, 5355941 + ... + 5374601.

It is an arithmetic number, because the mean of its divisors is an integer number (12532354128).

Almost surely, 2^100121322131 is an apocalyptic number.

100121322131 is a deficient number, since it is larger than the sum of its proper divisors (137510893).

100121322131 is an equidigital number, since it uses as much as digits as its factorization.

100121322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25741.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100121322131 its reverse (131223121001), we get a palindrome (231344443132).

The spelling of 100121322131 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty-one".