10000101077333 has 2 divisors, whose sum is σ = 10000101077334. Its totient is φ = 10000101077332.

The previous prime is 10000101077287. The next prime is 10000101077383. The reversal of 10000101077333 is 33377010100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9946851822769 + 53249254564 = 3153863^2 + 230758^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101077333 - 2²⁴ = 10000084300117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101077383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050538666 + 5000050538667.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050538667).

Almost surely, 2^{10000101077333} is an apocalyptic number.

It is an amenable number.

10000101077333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101077333 is an equidigital number, since it uses as much as digits as its factorization.

10000101077333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 26.

Adding to 10000101077333 its reverse (33377010100001), we get a palindrome (43377111177334).

The spelling of 10000101077333 in words is "ten trillion, one hundred one million, seventy-seven thousand, three hundred thirty-three".