102000977556521 has 2 divisors, whose sum is σ = 102000977556522. Its totient is φ = 102000977556520.

The previous prime is 102000977556503. The next prime is 102000977556539. The reversal of 102000977556521 is 125655779000201.

It is a balanced prime because it is at equal distance from previous prime (102000977556503) and next prime (102000977556539).

It can be written as a sum of positive squares in only one way, i.e., 53363185710121 + 48637791846400 = 7305011^2 + 6974080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102000977556521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102000977556521.

It is not a weakly prime, because it can be changed into another prime (102000977556581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000488778260 + 51000488778261.

It is an arithmetic number, because the mean of its divisors is an integer number (51000488778261).

Almost surely, 2^{102000977556521} is an apocalyptic number.

It is an amenable number.

102000977556521 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000977556521 is an equidigital number, since it uses as much as digits as its factorization.

102000977556521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323000, while the sum is 50.

The spelling of 102000977556521 in words is "one hundred two trillion, nine hundred seventy-seven million, five hundred fifty-six thousand, five hundred twenty-one".