103122334402401 has 32 divisors (see below), whose sum is σ = 138610528000000. Its totient is φ = 68192095926528.

The previous prime is 103122334402333. The next prime is 103122334402433. The reversal of 103122334402401 is 104204433221301.

It is not a de Polignac number, because 103122334402401 - 2¹⁵ = 103122334369633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103122334402481) 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, 3103927476 + ... + 3103960698.

It is an arithmetic number, because the mean of its divisors is an integer number (4331579000000).

Almost surely, 2^{103122334402401} is an apocalyptic number.

It is an amenable number.

103122334402401 is a deficient number, since it is larger than the sum of its proper divisors (35488193597599).

103122334402401 is a wasteful number, since it uses less digits than its factorization.

103122334402401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39853.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 103122334402401 its reverse (104204433221301), we get a palindrome (207326767623702).

The spelling of 103122334402401 in words is "one hundred three trillion, one hundred twenty-two billion, three hundred thirty-four million, four hundred two thousand, four hundred one".