100122233313113 has 32 divisors (see below), whose sum is σ = 115910053816320. Its totient is φ = 85583352616960.

The previous prime is 100122233313101. The next prime is 100122233313163. The reversal of 100122233313113 is 311313332221001.

It is not a de Polignac number, because 100122233313113 - 2²⁴ = 100122216535897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122233313163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364185881 + ... + 364460697.

It is an arithmetic number, because the mean of its divisors is an integer number (3622189181760).

Almost surely, 2^{100122233313113} is an apocalyptic number.

It is an amenable number.

100122233313113 is a deficient number, since it is larger than the sum of its proper divisors (15787820503207).

100122233313113 is a wasteful number, since it uses less digits than its factorization.

100122233313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299317.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 100122233313113 its reverse (311313332221001), we get a palindrome (411435565534114).

The spelling of 100122233313113 in words is "one hundred trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred thirteen".