102041201330112 has 336 divisors, whose sum is σ = 299698766961440. Its totient is φ = 30615702036480.

The previous prime is 102041201330087. The next prime is 102041201330119. The reversal of 102041201330112 is 211033102140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102041201330119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3679400598 + ... + 3679428330.

Almost surely, 2^{102041201330112} is an apocalyptic number.

102041201330112 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 102041201330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149849383480720).

102041201330112 is an abundant number, since it is smaller than the sum of its proper divisors (197657565631328).

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

102041201330112 is a wasteful number, since it uses less digits than its factorization.

102041201330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29332 (or 29311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102041201330112 its reverse (211033102140201), we get a palindrome (313074303470313).

The spelling of 102041201330112 in words is "one hundred two trillion, forty-one billion, two hundred one million, three hundred thirty thousand, one hundred twelve".