100763217521 has 2 divisors, whose sum is σ = 100763217522. Its totient is φ = 100763217520.

The previous prime is 100763217493. The next prime is 100763217551. The reversal of 100763217521 is 125712367001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95381527921 + 5381689600 = 308839^2 + 73360^2 .

It is a cyclic number.

It is not a de Polignac number, because 100763217521 - 2²² = 100759023217 is a prime.

It is a super-2 number, since 2×100763217521² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100763217551) 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, 50381608760 + 50381608761.

It is an arithmetic number, because the mean of its divisors is an integer number (50381608761).

Almost surely, 2^100763217521 is an apocalyptic number.

It is an amenable number.

100763217521 is a deficient number, since it is larger than the sum of its proper divisors (1).

100763217521 is an equidigital number, since it uses as much as digits as its factorization.

100763217521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 100763217521 in words is "one hundred billion, seven hundred sixty-three million, two hundred seventeen thousand, five hundred twenty-one".