100122131321 has 8 divisors (see below), whose sum is σ = 105394660800. Its totient is φ = 94849896240.

The previous prime is 100122131303. The next prime is 100122131341. The reversal of 100122131321 is 123131221001.

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 100122131321 - 2⁶ = 100122131257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122131321.

It is not an unprimeable number, because it can be changed into a prime (100122131341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125875 + ... + 1211543.

It is an arithmetic number, because the mean of its divisors is an integer number (13174332600).

Almost surely, 2^100122131321 is an apocalyptic number.

It is an amenable number.

100122131321 is a deficient number, since it is larger than the sum of its proper divisors (5272529479).

100122131321 is an equidigital number, since it uses as much as digits as its factorization.

100122131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147199.

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

Adding to 100122131321 its reverse (123131221001), we get a palindrome (223253352322).

The spelling of 100122131321 in words is "one hundred billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty-one".