102963512171521 has 16 divisors (see below), whose sum is σ = 106753643211600. Its totient is φ = 99189593975808.

The previous prime is 102963512171477. The next prime is 102963512171549. The reversal of 102963512171521 is 125171215369201.

It can be written as a sum of positive squares in 8 ways, for example, as 12672923609025 + 90290588562496 = 3559905^2 + 9502136^2 .

It is not a de Polignac number, because 102963512171521 - 2¹⁷ = 102963512040449 is a prime.

It is a super-2 number, since 2×102963512171521² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102963512171591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22430485 + ... + 26628061.

It is an arithmetic number, because the mean of its divisors is an integer number (6672102700725).

Almost surely, 2^{102963512171521} is an apocalyptic number.

It is an amenable number.

102963512171521 is a deficient number, since it is larger than the sum of its proper divisors (3790131040079).

102963512171521 is a wasteful number, since it uses less digits than its factorization.

102963512171521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199508.

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 102963512171521 in words is "one hundred two trillion, nine hundred sixty-three billion, five hundred twelve million, one hundred seventy-one thousand, five hundred twenty-one".