102242121224001 has 64 divisors (see below), whose sum is σ = 149415598080000. Its totient is φ = 61674158407680.

The previous prime is 102242121223961. The next prime is 102242121224017. The reversal of 102242121224001 is 100422121242201.

It is not a de Polignac number, because 102242121224001 - 2⁶ = 102242121223937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102242121224021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21739764016 + ... + 21739768718.

It is an arithmetic number, because the mean of its divisors is an integer number (2334618720000).

Almost surely, 2^{102242121224001} is an apocalyptic number.

102242121224001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102242121224001 is a deficient number, since it is larger than the sum of its proper divisors (47173476855999).

102242121224001 is a wasteful number, since it uses less digits than its factorization.

102242121224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102242121224001 its reverse (100422121242201), we get a palindrome (202664242466202).

The spelling of 102242121224001 in words is "one hundred two trillion, two hundred forty-two billion, one hundred twenty-one million, two hundred twenty-four thousand, one".