102122020444430 has 256 divisors, whose sum is σ = 227485536030720. Its totient is φ = 32249606602752.

The previous prime is 102122020444397. The next prime is 102122020444489. The reversal of 102122020444430 is 34444020221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102122020444393 and 102122020444402.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21594842306 + ... + 21594847034.

It is an arithmetic number, because the mean of its divisors is an integer number (888615375120).

Almost surely, 2^{102122020444430} is an apocalyptic number.

102122020444430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122020444430 is an abundant number, since it is smaller than the sum of its proper divisors (125363515586290).

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

102122020444430 is a wasteful number, since it uses less digits than its factorization.

102122020444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 102122020444430 its reverse (34444020221201), we get a palindrome (136566040665631).

The spelling of 102122020444430 in words is "one hundred two trillion, one hundred twenty-two billion, twenty million, four hundred forty-four thousand, four hundred thirty".