102412414213241 has 16 divisors (see below), whose sum is σ = 113863925102400. Its totient is φ = 91334699064000.

The previous prime is 102412414213229. The next prime is 102412414213289. The reversal of 102412414213241 is 142312414214201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102412414213241 - 2¹⁴ = 102412414196857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102412414213198 and 102412414213207.

It is not an unprimeable number, because it can be changed into a prime (102412414213201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422724731 + ... + 422966928.

It is an arithmetic number, because the mean of its divisors is an integer number (7116495318900).

Almost surely, 2^{102412414213241} is an apocalyptic number.

102412414213241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102412414213241 is a deficient number, since it is larger than the sum of its proper divisors (11451510889159).

102412414213241 is a wasteful number, since it uses less digits than its factorization.

102412414213241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845691880.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 102412414213241 its reverse (142312414214201), we get a palindrome (244724828427442).

The spelling of 102412414213241 in words is "one hundred two trillion, four hundred twelve billion, four hundred fourteen million, two hundred thirteen thousand, two hundred forty-one".