1010121321321 has 24 divisors (see below), whose sum is σ = 1668301075584. Its totient is φ = 576935533440.

The previous prime is 1010121321269. The next prime is 1010121321331. The reversal of 1010121321321 is 1231231210101.

1010121321321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 21 + 321 + 321 = 666.

It is not a de Polignac number, because 1010121321321 - 2⁷ = 1010121321193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010121321294 and 1010121321303.

It is not an unprimeable number, because it can be changed into a prime (1010121321331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709840 + ... + 3972801.

It is an arithmetic number, because the mean of its divisors is an integer number (69512544816).

Almost surely, 2^{1010121321321} is an apocalyptic number.

It is an amenable number.

1010121321321 is a deficient number, since it is larger than the sum of its proper divisors (658179754263).

1010121321321 is a wasteful number, since it uses less digits than its factorization.

1010121321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684741 (or 7684738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010121321321 its reverse (1231231210101), we get a palindrome (2241352531422).

The spelling of 1010121321321 in words is "one trillion, ten billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty-one".