100082627440633 has 2 divisors, whose sum is σ = 100082627440634. Its totient is φ = 100082627440632.

The previous prime is 100082627440597. The next prime is 100082627440711. The reversal of 100082627440633 is 336044726280001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100055267634169 + 27359806464 = 10002763^2 + 165408^2 .

It is a cyclic number.

It is not a de Polignac number, because 100082627440633 - 2¹³ = 100082627432441 is a prime.

It is not a weakly prime, because it can be changed into another prime (100082627240633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50041313720316 + 50041313720317.

It is an arithmetic number, because the mean of its divisors is an integer number (50041313720317).

Almost surely, 2^{100082627440633} is an apocalyptic number.

It is an amenable number.

100082627440633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100082627440633 is an equidigital number, since it uses as much as digits as its factorization.

100082627440633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 100082627440633 in words is "one hundred trillion, eighty-two billion, six hundred twenty-seven million, four hundred forty thousand, six hundred thirty-three".