10002122130341 has 16 divisors (see below), whose sum is σ = 11177793220608. Its totient is φ = 8870859052800.

The previous prime is 10002122130337. The next prime is 10002122130373. The reversal of 10002122130341 is 14303122120001.

It is a cyclic number.

It is not a de Polignac number, because 10002122130341 - 2² = 10002122130337 is a prime.

It is a super-2 number, since 2×10002122130341² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002122130541) 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 15 ways as a sum of consecutive naturals, for example, 21591545 + ... + 22049921.

It is an arithmetic number, because the mean of its divisors is an integer number (698612076288).

Almost surely, 2^{10002122130341} is an apocalyptic number.

10002122130341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002122130341 is a deficient number, since it is larger than the sum of its proper divisors (1175671090267).

10002122130341 is a wasteful number, since it uses less digits than its factorization.

10002122130341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506812.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10002122130341 its reverse (14303122120001), we get a palindrome (24305244250342).

The spelling of 10002122130341 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred thirty thousand, three hundred forty-one".