102400120230400 has 60 divisors (see below), whose sum is σ = 253704297911922. Its totient is φ = 40960048087040.

The previous prime is 102400120230391. The next prime is 102400120230407. The reversal of 102400120230400 is 4032021004201.

It can be written as a sum of positive squares in 3 ways, for example, as 98144052205824 + 4256068024576 = 9906768^2 + 2063024^2 .

It is not an unprimeable number, because it can be changed into a prime (102400120230407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3999991897 + ... + 4000017496.

Almost surely, 2^{102400120230400} is an apocalyptic number.

102400120230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102400120230400 is an abundant number, since it is smaller than the sum of its proper divisors (151304177681522).

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

102400120230400 is an frugal number, since it uses more digits than its factorization.

102400120230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000009421 (or 8000009400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102400120230400 its reverse (4032021004201), we get a palindrome (106432141234601).

The spelling of 102400120230400 in words is "one hundred two trillion, four hundred billion, one hundred twenty million, two hundred thirty thousand, four hundred".