102134122400 has 72 divisors (see below), whose sum is σ = 249835572000. Its totient is φ = 40771618560.

The previous prime is 102134122393. The next prime is 102134122403. The reversal of 102134122400 is 4221431201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102134122403) 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 11 ways as a sum of consecutive naturals, for example, 271277 + ... + 527123.

It is an arithmetic number, because the mean of its divisors is an integer number (3469938500).

Almost surely, 2^102134122400 is an apocalyptic number.

102134122400 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 102134122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124917786000).

102134122400 is an abundant number, since it is smaller than the sum of its proper divisors (147701449600).

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

102134122400 is a wasteful number, since it uses less digits than its factorization.

102134122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256366 (or 256353 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102134122400 its reverse (4221431201), we get a palindrome (106355553601).

The spelling of 102134122400 in words is "one hundred two billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred".