1010010012321 has 8 divisors (see below), whose sum is σ = 1346686555104. Its totient is φ = 673336738880.

The previous prime is 1010010012257. The next prime is 1010010012329. The reversal of 1010010012321 is 1232100100101.

1010010012321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010010012321 - 2⁶ = 1010010012257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010010012297 and 1010010012306.

It is not an unprimeable number, because it can be changed into a prime (1010010012329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28585 + ... + 1421561.

It is an arithmetic number, because the mean of its divisors is an integer number (168335819388).

Almost surely, 2^{1010010012321} is an apocalyptic number.

It is an amenable number.

1010010012321 is a deficient number, since it is larger than the sum of its proper divisors (336676542783).

1010010012321 is a wasteful number, since it uses less digits than its factorization.

1010010012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634671.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1010010012321 its reverse (1232100100101), we get a palindrome (2242110112422).

The spelling of 1010010012321 in words is "one trillion, ten billion, ten million, twelve thousand, three hundred twenty-one".