102041113140 has 144 divisors (see below), whose sum is σ = 331881338880. Its totient is φ = 25286077440.

The previous prime is 102041113087. The next prime is 102041113147. The reversal of 102041113140 is 41311140201.

102041113140 is a `hidden beast` number, since 102 + 0 + 411 + 13 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102041113147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30685 + ... + 452795.

It is an arithmetic number, because the mean of its divisors is an integer number (2304731520).

Almost surely, 2^102041113140 is an apocalyptic number.

102041113140 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 102041113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165940669440).

102041113140 is an abundant number, since it is smaller than the sum of its proper divisors (229840225740).

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

102041113140 is a wasteful number, since it uses less digits than its factorization.

102041113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422222 (or 422217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102041113140 its reverse (41311140201), we get a palindrome (143352253341).

The spelling of 102041113140 in words is "one hundred two billion, forty-one million, one hundred thirteen thousand, one hundred forty".