102101238096 has 320 divisors, whose sum is σ = 318315626496. Its totient is φ = 27789004800.

The previous prime is 102101238089. The next prime is 102101238119. The reversal of 102101238096 is 690832101201.

102101238096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 61617300 + ... + 61618956.

Almost surely, 2^102101238096 is an apocalyptic number.

102101238096 is a gapful number since it is divisible by the number (16) 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 102101238096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159157813248).

102101238096 is an abundant number, since it is smaller than the sum of its proper divisors (216214388400).

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

102101238096 is a wasteful number, since it uses less digits than its factorization.

102101238096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

Adding to 102101238096 its reverse (690832101201), we get a palindrome (792933339297).

The spelling of 102101238096 in words is "one hundred two billion, one hundred one million, two hundred thirty-eight thousand, ninety-six".