10122101010977 has 2 divisors, whose sum is σ = 10122101010978. Its totient is φ = 10122101010976.

The previous prime is 10122101010971. The next prime is 10122101011049. The reversal of 10122101010977 is 77901010122101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9765225004096 + 356876006881 = 3124936^2 + 597391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122101010977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122101010971) 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, 5061050505488 + 5061050505489.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050505489).

Almost surely, 2^{10122101010977} is an apocalyptic number.

It is an amenable number.

10122101010977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122101010977 is an equidigital number, since it uses as much as digits as its factorization.

10122101010977 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 32.

The spelling of 10122101010977 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, ten thousand, nine hundred seventy-seven".