10000101221311 has 2 divisors, whose sum is σ = 10000101221312. Its totient is φ = 10000101221310.

The previous prime is 10000101221293. The next prime is 10000101221339. The reversal of 10000101221311 is 11312210100001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101221311 - 2²³ = 10000092832703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000101221291 and 10000101221300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101221611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050610655 + 5000050610656.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050610656).

Almost surely, 2^{10000101221311} is an apocalyptic number.

10000101221311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101221311 is an equidigital number, since it uses as much as digits as its factorization.

10000101221311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10000101221311 its reverse (11312210100001), we get a palindrome (21312311321312).

The spelling of 10000101221311 in words is "ten trillion, one hundred one million, two hundred twenty-one thousand, three hundred eleven".