102000033200077 has 2 divisors, whose sum is σ = 102000033200078. Its totient is φ = 102000033200076.

The previous prime is 102000033200063. The next prime is 102000033200161. The reversal of 102000033200077 is 770002330000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91209261525316 + 10790771674761 = 9550354^2 + 3284931^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000033200077 - 2⁴³ = 93203940177869 is a prime.

It is a super-3 number, since 3×102000033200077³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000033206077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000016600038 + 51000016600039.

It is an arithmetic number, because the mean of its divisors is an integer number (51000016600039).

Almost surely, 2^{102000033200077} is an apocalyptic number.

It is an amenable number.

102000033200077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000033200077 is an equidigital number, since it uses as much as digits as its factorization.

102000033200077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 25.

Adding to 102000033200077 its reverse (770002330000201), we get a palindrome (872002363200278).

The spelling of 102000033200077 in words is "one hundred two trillion, thirty-three million, two hundred thousand, seventy-seven".