103112242211301 has 64 divisors (see below), whose sum is σ = 141552211046400. Its totient is φ = 66725136000000.

The previous prime is 103112242211287. The next prime is 103112242211339.

103112242211301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103112242211301 - 2¹⁰ = 103112242210277 is a prime.

It is a super-2 number, since 2×103112242211301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112242213301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31255603750 + ... + 31255607048.

It is an arithmetic number, because the mean of its divisors is an integer number (2211753297600).

Almost surely, 2^{103112242211301} is an apocalyptic number.

It is an amenable number.

103112242211301 is a deficient number, since it is larger than the sum of its proper divisors (38439968835099).

103112242211301 is a wasteful number, since it uses less digits than its factorization.

103112242211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 103112242211301 in words is "one hundred three trillion, one hundred twelve billion, two hundred forty-two million, two hundred eleven thousand, three hundred one".