10102660105135 has 16 divisors (see below), whose sum is σ = 13076837091360. Its totient is φ = 7448373509760.

The previous prime is 10102660105123. The next prime is 10102660105169. The reversal of 10102660105135 is 53150106620101.

It is a happy number.

It is not a de Polignac number, because 10102660105135 - 2¹⁵ = 10102660072367 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102660105097 and 10102660105106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 125505436 + ... + 125585905.

It is an arithmetic number, because the mean of its divisors is an integer number (817302318210).

Almost surely, 2^{10102660105135} is an apocalyptic number.

10102660105135 is a deficient number, since it is larger than the sum of its proper divisors (2974176986225).

10102660105135 is a wasteful number, since it uses less digits than its factorization.

10102660105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251091978.

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 10102660105135 its reverse (53150106620101), we get a palindrome (63252766725236).

The spelling of 10102660105135 in words is "ten trillion, one hundred two billion, six hundred sixty million, one hundred five thousand, one hundred thirty-five".