10000101010321 has 2 divisors, whose sum is σ = 10000101010322. Its totient is φ = 10000101010320.

The previous prime is 10000101010307. The next prime is 10000101010337. The reversal of 10000101010321 is 12301010100001.

10000101010321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9088144769025 + 911956241296 = 3014655^2 + 954964^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101010321 - 2²¹ = 10000098913169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000101010298 and 10000101010307.

It is not a weakly prime, because it can be changed into another prime (10000101013321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050505160 + 5000050505161.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050505161).

Almost surely, 2^{10000101010321} is an apocalyptic number.

It is an amenable number.

10000101010321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101010321 is an equidigital number, since it uses as much as digits as its factorization.

10000101010321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10000101010321 its reverse (12301010100001), we get a palindrome (22301111110322).

The spelling of 10000101010321 in words is "ten trillion, one hundred one million, ten thousand, three hundred twenty-one".