102111032320 has 352 divisors, whose sum is σ = 279616924800. Its totient is φ = 35438592000.

The previous prime is 102111032311. The next prime is 102111032329. The reversal of 102111032320 is 23230111201.

It is an interprime number because it is at equal distance from previous prime (102111032311) and next prime (102111032329).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102111032294 and 102111032303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111032329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164960971 + ... + 164961589.

Almost surely, 2^102111032320 is an apocalyptic number.

102111032320 is a gapful number since it is divisible by the number (10) 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 102111032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139808462400).

102111032320 is an abundant number, since it is smaller than the sum of its proper divisors (177505892480).

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

102111032320 is a wasteful number, since it uses less digits than its factorization.

102111032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102111032320 its reverse (23230111201), we get a palindrome (125341143521).

The spelling of 102111032320 in words is "one hundred two billion, one hundred eleven million, thirty-two thousand, three hundred twenty".