10102434343221 has 48 divisors (see below), whose sum is σ = 15315044709888. Its totient is φ = 5873303217600.

The previous prime is 10102434343219. The next prime is 10102434343237. The reversal of 10102434343221 is 12234343420101.

It is not a de Polignac number, because 10102434343221 - 2¹ = 10102434343219 is a prime.

It is a super-2 number, since 2×10102434343221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102434343021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632786 + ... + 4782348.

It is an arithmetic number, because the mean of its divisors is an integer number (319063431456).

Almost surely, 2^{10102434343221} is an apocalyptic number.

10102434343221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102434343221 is a deficient number, since it is larger than the sum of its proper divisors (5212610366667).

10102434343221 is a wasteful number, since it uses less digits than its factorization.

10102434343221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149722 (or 3149685 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10102434343221 its reverse (12234343420101), we get a palindrome (22336777763322).

The spelling of 10102434343221 in words is "ten trillion, one hundred two billion, four hundred thirty-four million, three hundred forty-three thousand, two hundred twenty-one".