10212131130102 has 96 divisors (see below), whose sum is σ = 24917661849600. Its totient is φ = 2994608448000.

The previous prime is 10212131130083. The next prime is 10212131130167. The reversal of 10212131130102 is 20103113121201.

10212131130102 is a `hidden beast` number, since 10 + 21 + 21 + 311 + 301 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 195156102 + ... + 195208422.

It is an arithmetic number, because the mean of its divisors is an integer number (259558977600).

Almost surely, 2^{10212131130102} is an apocalyptic number.

10212131130102 is an abundant number, since it is smaller than the sum of its proper divisors (14705530719498).

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

10212131130102 is a wasteful number, since it uses less digits than its factorization.

10212131130102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84170 (or 84167 counting only the distinct ones).

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

Adding to 10212131130102 its reverse (20103113121201), we get a palindrome (30315244251303).

The spelling of 10212131130102 in words is "ten trillion, two hundred twelve billion, one hundred thirty-one million, one hundred thirty thousand, one hundred two".