10102311120321 has 64 divisors (see below), whose sum is σ = 18111555624960. Its totient is φ = 5432884773120.

The previous prime is 10102311120289. The next prime is 10102311120353. The reversal of 10102311120321 is 12302111320101.

10102311120321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 231 + 112 + 0 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (10102311120289) and next prime (10102311120353).

It is not a de Polignac number, because 10102311120321 - 2⁵ = 10102311120289 is a prime.

It is a super-2 number, since 2×10102311120321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102311120294 and 10102311120303.

It is not an unprimeable number, because it can be changed into a prime (10102311120361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68655790 + ... + 68802776.

It is an arithmetic number, because the mean of its divisors is an integer number (282993056640).

Almost surely, 2^{10102311120321} is an apocalyptic number.

It is an amenable number.

10102311120321 is a deficient number, since it is larger than the sum of its proper divisors (8009244504639).

10102311120321 is a wasteful number, since it uses less digits than its factorization.

10102311120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168411 (or 168405 counting only the distinct ones).

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

Adding to 10102311120321 its reverse (12302111320101), we get a palindrome (22404422440422).

The spelling of 10102311120321 in words is "ten trillion, one hundred two billion, three hundred eleven million, one hundred twenty thousand, three hundred twenty-one".