102224024103201 has 96 divisors (see below), whose sum is σ = 184398285899520. Its totient is φ = 49015999549440.

The previous prime is 102224024103151. The next prime is 102224024103263. The reversal of 102224024103201 is 102301420422201.

It is not a de Polignac number, because 102224024103201 - 2⁶ = 102224024103137 is a prime.

It is a super-2 number, since 2×102224024103201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102224024103301) 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 95 ways as a sum of consecutive naturals, for example, 752060421 + ... + 752196333.

It is an arithmetic number, because the mean of its divisors is an integer number (1920815478120).

Almost surely, 2^{102224024103201} is an apocalyptic number.

102224024103201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102224024103201 is a deficient number, since it is larger than the sum of its proper divisors (82174261796319).

102224024103201 is a wasteful number, since it uses less digits than its factorization.

102224024103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158727 (or 158716 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102224024103201 its reverse (102301420422201), we get a palindrome (204525444525402).

The spelling of 102224024103201 in words is "one hundred two trillion, two hundred twenty-four billion, twenty-four million, one hundred three thousand, two hundred one".