102114132450 has 144 divisors (see below), whose sum is σ = 279780842880. Its totient is φ = 24628419200.

The previous prime is 102114132433. The next prime is 102114132469. The reversal of 102114132450 is 54231411201.

102114132450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102114132450² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102114132450.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3561271 + ... + 3589829.

It is an arithmetic number, because the mean of its divisors is an integer number (1942922520).

Almost surely, 2^102114132450 is an apocalyptic number.

102114132450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102114132450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139890421440).

102114132450 is an abundant number, since it is smaller than the sum of its proper divisors (177666710430).

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

102114132450 is a wasteful number, since it uses less digits than its factorization.

102114132450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28793 (or 28777 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 102114132450 its reverse (54231411201), we get a palindrome (156345543651).

The spelling of 102114132450 in words is "one hundred two billion, one hundred fourteen million, one hundred thirty-two thousand, four hundred fifty".