102122014242400 has 72 divisors (see below), whose sum is σ = 250834848370344. Its totient is φ = 40598199475200.

The previous prime is 102122014242389. The next prime is 102122014242407. The reversal of 102122014242400 is 4242410221201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122014242407) 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, 391441741 + ... + 391702540.

It is an arithmetic number, because the mean of its divisors is an integer number (3483817338477).

Almost surely, 2^{102122014242400} is an apocalyptic number.

102122014242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122014242400 is an abundant number, since it is smaller than the sum of its proper divisors (148712834127944).

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

102122014242400 is a wasteful number, since it uses less digits than its factorization.

102122014242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783144464 (or 783144451 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 102122014242400 its reverse (4242410221201), we get a palindrome (106364424463601).

The spelling of 102122014242400 in words is "one hundred two trillion, one hundred twenty-two billion, fourteen million, two hundred forty-two thousand, four hundred".