102145252521 has 32 divisors (see below), whose sum is σ = 147395799040. Its totient is φ = 62548200000.

The previous prime is 102145252511. The next prime is 102145252549. The reversal of 102145252521 is 125252541201.

It is a de Polignac number, because none of the positive numbers 2^k-102145252521 is a prime.

It is a super-4 number, since 4×102145252521⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102145252511) 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 in 31 ways as a sum of consecutive naturals, for example, 9073146 + ... + 9084396.

It is an arithmetic number, because the mean of its divisors is an integer number (4606118720).

Almost surely, 2^102145252521 is an apocalyptic number.

It is an amenable number.

102145252521 is a deficient number, since it is larger than the sum of its proper divisors (45250546519).

102145252521 is a wasteful number, since it uses less digits than its factorization.

102145252521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397.

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 102145252521 its reverse (125252541201), we get a palindrome (227397793722).

The spelling of 102145252521 in words is "one hundred two billion, one hundred forty-five million, two hundred fifty-two thousand, five hundred twenty-one".