102123421400 has 288 divisors, whose sum is σ = 320556268800. Its totient is φ = 29381414400.

The previous prime is 102123421349. The next prime is 102123421429. The reversal of 102123421400 is 4124321201.

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

It is a congruent number.

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, 2582981 + ... + 2622219.

It is an arithmetic number, because the mean of its divisors is an integer number (1113042600).

Almost surely, 2^102123421400 is an apocalyptic number.

102123421400 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 102123421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160278134400).

102123421400 is an abundant number, since it is smaller than the sum of its proper divisors (218432847400).

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

102123421400 is a wasteful number, since it uses less digits than its factorization.

102123421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39299 (or 39277 counting only the distinct ones).

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

Adding to 102123421400 its reverse (4124321201), we get a palindrome (106247742601).

The spelling of 102123421400 in words is "one hundred two billion, one hundred twenty-three million, four hundred twenty-one thousand, four hundred".