102113121141 has 12 divisors (see below), whose sum is σ = 147505153068. Its totient is φ = 68071526784.

The previous prime is 102113121041. The next prime is 102113121193. The reversal of 102113121141 is 141121311201.

102113121141 is a `hidden beast` number, since 1 + 0 + 211 + 312 + 1 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99022873041 + 3090248100 = 314679^2 + 55590^2 .

It is not a de Polignac number, because 102113121141 - 2⁷ = 102113121013 is a prime.

It is a super-2 number, since 2×102113121141² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113121041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152820 + ... + 477053.

It is an arithmetic number, because the mean of its divisors is an integer number (12292096089).

Almost surely, 2^102113121141 is an apocalyptic number.

It is an amenable number.

102113121141 is a deficient number, since it is larger than the sum of its proper divisors (45392031927).

102113121141 is a wasteful number, since it uses less digits than its factorization.

102113121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647892 (or 647889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102113121141 its reverse (141121311201), we get a palindrome (243234432342).

The spelling of 102113121141 in words is "one hundred two billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred forty-one".