102115010011005 has 64 divisors (see below), whose sum is σ = 194376225657600. Its totient is φ = 50681800857600.

The previous prime is 102115010010991. The next prime is 102115010011009. The reversal of 102115010011005 is 500110010511201.

It is not a de Polignac number, because 102115010011005 - 2⁵ = 102115010010973 is a prime.

It is a super-2 number, since 2×102115010011005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115010011009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249765171 + ... + 250173680.

It is an arithmetic number, because the mean of its divisors is an integer number (3037128525900).

Almost surely, 2^{102115010011005} is an apocalyptic number.

102115010011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102115010011005 is a deficient number, since it is larger than the sum of its proper divisors (92261215646595).

102115010011005 is a wasteful number, since it uses less digits than its factorization.

102115010011005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499938971 (or 499938965 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 18.

Adding to 102115010011005 its reverse (500110010511201), we get a palindrome (602225020522206).

The spelling of 102115010011005 in words is "one hundred two trillion, one hundred fifteen billion, ten million, eleven thousand, five".