1010414100321 has 6 divisors (see below), whose sum is σ = 1459487033810. Its totient is φ = 673609400208.

The previous prime is 1010414100257. The next prime is 1010414100323. The reversal of 1010414100321 is 1230014140101.

It can be written as a sum of positive squares in only one way, i.e., 781845008400 + 228569091921 = 884220^2 + 478089^2 .

It is not a de Polignac number, because 1010414100321 - 2⁶ = 1010414100257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010414100294 and 1010414100303.

It is not an unprimeable number, because it can be changed into a prime (1010414100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56134116676 + ... + 56134116693.

Almost surely, 2^{1010414100321} is an apocalyptic number.

It is an amenable number.

1010414100321 is a deficient number, since it is larger than the sum of its proper divisors (449072933489).

1010414100321 is a wasteful number, since it uses less digits than its factorization.

1010414100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112268233375 (or 112268233372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010414100321 its reverse (1230014140101), we get a palindrome (2240428240422).

The spelling of 1010414100321 in words is "one trillion, ten billion, four hundred fourteen million, one hundred thousand, three hundred twenty-one".