102213141534 has 48 divisors (see below), whose sum is σ = 261263708160. Its totient is φ = 28261697040.

The previous prime is 102213141521. The next prime is 102213141587. The reversal of 102213141534 is 435141312201.

102213141534 is a `hidden beast` number, since 1 + 0 + 2 + 213 + 1 + 415 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102213141498 and 102213141507.

It is a congruent number.

It is an unprimeable number.

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, 13080214 + ... + 13088025.

It is an arithmetic number, because the mean of its divisors is an integer number (5442993920).

Almost surely, 2^102213141534 is an apocalyptic number.

102213141534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102213141534 is an abundant number, since it is smaller than the sum of its proper divisors (159050566626).

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

102213141534 is a wasteful number, since it uses less digits than its factorization.

102213141534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26168285 (or 26168282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102213141534 its reverse (435141312201), we get a palindrome (537354453735).

The spelling of 102213141534 in words is "one hundred two billion, two hundred thirteen million, one hundred forty-one thousand, five hundred thirty-four".