102123410442400 has 72 divisors (see below), whose sum is σ = 254012715012924. Its totient is φ = 40078621440000.

The previous prime is 102123410442343. The next prime is 102123410442407. The reversal of 102123410442400 is 4244014321201.

It can be written as a sum of positive squares in 6 ways, for example, as 83067985418896 + 19055425023504 = 9114164^2 + 4365252^2 .

It is not an unprimeable number, because it can be changed into a prime (102123410442407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204243101 + ... + 1204327900.

Almost surely, 2^{102123410442400} is an apocalyptic number.

102123410442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123410442400 is an abundant number, since it is smaller than the sum of its proper divisors (151889304570524).

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

102123410442400 is a wasteful number, since it uses less digits than its factorization.

102123410442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408571074 (or 2408571061 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102123410442400 its reverse (4244014321201), we get a palindrome (106367424763601).

The spelling of 102123410442400 in words is "one hundred two trillion, one hundred twenty-three billion, four hundred ten million, four hundred forty-two thousand, four hundred".