10102102132131 has 24 divisors (see below), whose sum is σ = 14750319388896. Its totient is φ = 6661778238720.

The previous prime is 10102102132127. The next prime is 10102102132141. The reversal of 10102102132131 is 13123120120101.

10102102132131 is a `hidden beast` number, since 101 + 0 + 210 + 2 + 1 + 321 + 31 = 666.

It is not a de Polignac number, because 10102102132131 - 2² = 10102102132127 is a prime.

It is a super-3 number, since 3×10102102132131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10102102132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5368120 + ... + 7001493.

It is an arithmetic number, because the mean of its divisors is an integer number (614596641204).

Almost surely, 2^{10102102132131} is an apocalyptic number.

10102102132131 is a deficient number, since it is larger than the sum of its proper divisors (4648217256765).

10102102132131 is a wasteful number, since it uses less digits than its factorization.

10102102132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370603 (or 12370600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10102102132131 its reverse (13123120120101), we get a palindrome (23225222252232).

The spelling of 10102102132131 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thirty-two thousand, one hundred thirty-one".