102100112101208 has 192 divisors, whose sum is σ = 219038155015680. Its totient is φ = 44309108712960.

The previous prime is 102100112101201. The next prime is 102100112101217. The reversal of 102100112101208 is 802101211001201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102100112101208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100112101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782029391 + ... + 782159937.

It is an arithmetic number, because the mean of its divisors is an integer number (1140823724040).

Almost surely, 2^{102100112101208} 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 102100112101208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109519077507840).

102100112101208 is an abundant number, since it is smaller than the sum of its proper divisors (116938042914472).

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

102100112101208 is a wasteful number, since it uses less digits than its factorization.

102100112101208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130778 (or 130713 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 102100112101208 its reverse (802101211001201), we get a palindrome (904201323102409).

The spelling of 102100112101208 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred eight".