100121323193 has 16 divisors (see below), whose sum is σ = 105584394240. Its totient is φ = 94799182800.

The previous prime is 100121323147. The next prime is 100121323223. The reversal of 100121323193 is 391323121001.

It is a cyclic number.

It is not a de Polignac number, because 100121323193 - 2²⁴ = 100104545977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121323493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5339288 + ... + 5358006.

It is an arithmetic number, because the mean of its divisors is an integer number (6599024640).

Almost surely, 2^100121323193 is an apocalyptic number.

It is an amenable number.

100121323193 is a deficient number, since it is larger than the sum of its proper divisors (5463071047).

100121323193 is a wasteful number, since it uses less digits than its factorization.

100121323193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 100121323193 its reverse (391323121001), we get a palindrome (491444444194).

The spelling of 100121323193 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred ninety-three".