102677132477627 has 2 divisors, whose sum is σ = 102677132477628. Its totient is φ = 102677132477626.

The previous prime is 102677132477617. The next prime is 102677132477741. The reversal of 102677132477627 is 726774231776201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102677132477627 - 2¹⁴ = 102677132461243 is a prime.

It is a super-2 number, since 2×102677132477627² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102677132477627.

It is not a weakly prime, because it can be changed into another prime (102677132477617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51338566238813 + 51338566238814.

It is an arithmetic number, because the mean of its divisors is an integer number (51338566238814).

Almost surely, 2^{102677132477627} is an apocalyptic number.

102677132477627 is a deficient number, since it is larger than the sum of its proper divisors (1).

102677132477627 is an equidigital number, since it uses as much as digits as its factorization.

102677132477627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58084992, while the sum is 62.

The spelling of 102677132477627 in words is "one hundred two trillion, six hundred seventy-seven billion, one hundred thirty-two million, four hundred seventy-seven thousand, six hundred twenty-seven".