102000210223131 has 24 divisors (see below), whose sum is σ = 165071593290864. Its totient is φ = 60147544109760.

The previous prime is 102000210223117. The next prime is 102000210223151. The reversal of 102000210223131 is 131322012000201.

102000210223131 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 210 + 223 + 1 + 31 = 666.

It is not a de Polignac number, because 102000210223131 - 2¹⁴ = 102000210206747 is a prime.

It is a super-2 number, since 2×102000210223131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000210223151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13923038956 + ... + 13923046281.

It is an arithmetic number, because the mean of its divisors is an integer number (6877983053786).

Almost surely, 2^{102000210223131} is an apocalyptic number.

102000210223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102000210223131 is a deficient number, since it is larger than the sum of its proper divisors (63071383067733).

102000210223131 is a wasteful number, since it uses less digits than its factorization.

102000210223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846085291 (or 27846085288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102000210223131 its reverse (131322012000201), we get a palindrome (233322222223332).

The spelling of 102000210223131 in words is "one hundred two trillion, two hundred ten million, two hundred twenty-three thousand, one hundred thirty-one".