102001211200177 has 2 divisors, whose sum is σ = 102001211200178. Its totient is φ = 102001211200176.

The previous prime is 102001211200153. The next prime is 102001211200223. The reversal of 102001211200177 is 771002112100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100343815014976 + 1657396185201 = 10017176^2 + 1287399^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001211200177 - 2²⁷ = 102001076982449 is a prime.

It is a super-2 number, since 2×102001211200177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102001211200277) 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, 51000605600088 + 51000605600089.

It is an arithmetic number, because the mean of its divisors is an integer number (51000605600089).

Almost surely, 2^{102001211200177} is an apocalyptic number.

It is an amenable number.

102001211200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001211200177 is an equidigital number, since it uses as much as digits as its factorization.

102001211200177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 102001211200177 its reverse (771002112100201), we get a palindrome (873003323300378).

The spelling of 102001211200177 in words is "one hundred two trillion, one billion, two hundred eleven million, two hundred thousand, one hundred seventy-seven".