102123114400 has 72 divisors (see below), whose sum is σ = 249458619564. Its totient is φ = 40824576000.

The previous prime is 102123114389. The next prime is 102123114413. The reversal of 102123114400 is 4411321201.

It can be written as a sum of positive squares in 6 ways, for example, as 24128030224 + 77995084176 = 155332^2 + 279276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1316700 + ... + 1392100.

Almost surely, 2^102123114400 is an apocalyptic number.

102123114400 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 102123114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124729309782).

102123114400 is an abundant number, since it is smaller than the sum of its proper divisors (147335505164).

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

102123114400 is a wasteful number, since it uses less digits than its factorization.

102123114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77114 (or 77101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102123114400 its reverse (4411321201), we get a palindrome (106534435601).

The spelling of 102123114400 in words is "one hundred two billion, one hundred twenty-three million, one hundred fourteen thousand, four hundred".