102115000000 has 224 divisors, whose sum is σ = 272950082496. Its totient is φ = 37680000000.

The previous prime is 102114999983. The next prime is 102115000003. The reversal of 102115000000 is 511201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102115000003) 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, 64999215 + ... + 65000785.

It is an arithmetic number, because the mean of its divisors is an integer number (1218527154).

Almost surely, 2^102115000000 is an apocalyptic number.

102115000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102115000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136475041248).

102115000000 is an abundant number, since it is smaller than the sum of its proper divisors (170835082496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102115000000 is an frugal number, since it uses more digits than its factorization.

102115000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 102115000000 its reverse (511201), we get a palindrome (102115511201).

The spelling of 102115000000 in words is "one hundred two billion, one hundred fifteen million", and thus it is an aban number.