102102012000977 has 2 divisors, whose sum is σ = 102102012000978. Its totient is φ = 102102012000976.

The previous prime is 102102012000917. The next prime is 102102012000983. The reversal of 102102012000977 is 779000210201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64657697082001 + 37444314918976 = 8041001^2 + 6119176^2 .

It is an emirp because it is prime and its reverse (779000210201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102012000977 - 2²⁶ = 102101944892113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102012000917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051006000488 + 51051006000489.

It is an arithmetic number, because the mean of its divisors is an integer number (51051006000489).

Almost surely, 2^{102102012000977} is an apocalyptic number.

It is an amenable number.

102102012000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102012000977 is an equidigital number, since it uses as much as digits as its factorization.

102102012000977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 102102012000977 in words is "one hundred two trillion, one hundred two billion, twelve million, nine hundred seventy-seven", and thus it is an aban number.