102210433434241 has 64 divisors (see below), whose sum is σ = 124158303360000. Its totient is φ = 83090451628800.

The previous prime is 102210433434223. The next prime is 102210433434251. The reversal of 102210433434241 is 142434334012201.

It is not a de Polignac number, because 102210433434241 - 2¹⁹ = 102210432909953 is a prime.

It is a super-2 number, since 2×102210433434241² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210433434197 and 102210433434206.

It is not an unprimeable number, because it can be changed into a prime (102210433434251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 63935850 + ... + 65514988.

It is an arithmetic number, because the mean of its divisors is an integer number (1939973490000).

Almost surely, 2^{102210433434241} is an apocalyptic number.

102210433434241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210433434241 is a deficient number, since it is larger than the sum of its proper divisors (21947869925759).

102210433434241 is a wasteful number, since it uses less digits than its factorization.

102210433434241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579438.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 102210433434241 its reverse (142434334012201), we get a palindrome (244644767446442).

The spelling of 102210433434241 in words is "one hundred two trillion, two hundred ten billion, four hundred thirty-three million, four hundred thirty-four thousand, two hundred forty-one".