102100101194616 has 256 divisors, whose sum is σ = 303324061824000. Its totient is φ = 28617301440000.

The previous prime is 102100101194603. The next prime is 102100101194617. The reversal of 102100101194616 is 616491101001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100101194617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6217646086 + ... + 6217662506.

It is an arithmetic number, because the mean of its divisors is an integer number (1184859616500).

Almost surely, 2^{102100101194616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100101194616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151662030912000).

102100101194616 is an abundant number, since it is smaller than the sum of its proper divisors (201223960629384).

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

102100101194616 is a wasteful number, since it uses less digits than its factorization.

102100101194616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30755 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

Adding to 102100101194616 its reverse (616491101001201), we get a palindrome (718591202195817).

The spelling of 102100101194616 in words is "one hundred two trillion, one hundred billion, one hundred one million, one hundred ninety-four thousand, six hundred sixteen".