102011421134400 has 84 divisors (see below), whose sum is σ = 334682470854192. Its totient is φ = 27203045634560.

The previous prime is 102011421134339. The next prime is 102011421134401. The reversal of 102011421134400 is 4431124110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102011421134401) 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, 10626184902 + ... + 10626194501.

Almost surely, 2^{102011421134400} is an apocalyptic number.

102011421134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011421134400 is an abundant number, since it is smaller than the sum of its proper divisors (232671049719792).

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

102011421134400 is a wasteful number, since it uses less digits than its factorization.

102011421134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252379428 (or 21252379413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102011421134400 its reverse (4431124110201), we get a palindrome (106442545244601).

The spelling of 102011421134400 in words is "one hundred two trillion, eleven billion, four hundred twenty-one million, one hundred thirty-four thousand, four hundred".