102213414243441 has 24 divisors (see below), whose sum is σ = 148187944496384. Its totient is φ = 67890121643520.

The previous prime is 102213414243431. The next prime is 102213414243487. The reversal of 102213414243441 is 144342414312201.

102213414243441 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 34 + 142 + 43 + 441 = 666.

It is not a de Polignac number, because 102213414243441 - 2³⁴ = 102196234374257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213414243396 and 102213414243405.

It is not an unprimeable number, because it can be changed into a prime (102213414243431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347793540 + ... + 348087306.

Almost surely, 2^{102213414243441} is an apocalyptic number.

It is an amenable number.

102213414243441 is a deficient number, since it is larger than the sum of its proper divisors (45974530252943).

102213414243441 is a wasteful number, since it uses less digits than its factorization.

102213414243441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436701 (or 436698 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 102213414243441 its reverse (144342414312201), we get a palindrome (246555828555642).

It can be divided in two parts, 1022134 and 14243441, that added together give a triangular number (15265575 = T₅₅₂₅).

The spelling of 102213414243441 in words is "one hundred two trillion, two hundred thirteen billion, four hundred fourteen million, two hundred forty-three thousand, four hundred forty-one".