10211310100321 has 8 divisors (see below), whose sum is σ = 11206315278144. Its totient is φ = 9227422299120.

The previous prime is 10211310100261. The next prime is 10211310100333. The reversal of 10211310100321 is 12300101311201.

It is a happy number.

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 10211310100321 - 2⁷ = 10211310100193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211310100295 and 10211310100304.

It is not an unprimeable number, because it can be changed into a prime (10211310100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2779342230 + ... + 2779345903.

It is an arithmetic number, because the mean of its divisors is an integer number (1400789409768).

Almost surely, 2^{10211310100321} is an apocalyptic number.

10211310100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211310100321 is a deficient number, since it is larger than the sum of its proper divisors (995005177823).

10211310100321 is a wasteful number, since it uses less digits than its factorization.

10211310100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558688311.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10211310100321 its reverse (12300101311201), we get a palindrome (22511411411522).

The spelling of 10211310100321 in words is "ten trillion, two hundred eleven billion, three hundred ten million, one hundred thousand, three hundred twenty-one".