102022103232 has 448 divisors, whose sum is σ = 351252495360. Its totient is φ = 28434751488.

The previous prime is 102022103207. The next prime is 102022103251. The reversal of 102022103232 is 232301220201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149373163 + ... + 149373845.

Almost surely, 2^102022103232 is an apocalyptic number.

102022103232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175626247680).

102022103232 is an abundant number, since it is smaller than the sum of its proper divisors (249230392128).

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

102022103232 is a wasteful number, since it uses less digits than its factorization.

102022103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102022103232 its reverse (232301220201), we get a palindrome (334323323433).

The spelling of 102022103232 in words is "one hundred two billion, twenty-two million, one hundred three thousand, two hundred thirty-two".