10111113421321 has 8 divisors (see below), whose sum is σ = 11031554700288. Its totient is φ = 9190880334000.

The previous prime is 10111113421313. The next prime is 10111113421361. The reversal of 10111113421321 is 12312431111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111113421321 - 2³ = 10111113421313 is a prime.

It is a super-3 number, since 3×10111113421321³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111113421292 and 10111113421301.

It is not an unprimeable number, because it can be changed into a prime (10111113421361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51946350 + ... + 52140631.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944337536).

Almost surely, 2^{10111113421321} is an apocalyptic number.

10111113421321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111113421321 is a deficient number, since it is larger than the sum of its proper divisors (920441278967).

10111113421321 is a wasteful number, since it uses less digits than its factorization.

10111113421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104095823.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 10111113421321 its reverse (12312431111101), we get a palindrome (22423544532422).

The spelling of 10111113421321 in words is "ten trillion, one hundred eleven billion, one hundred thirteen million, four hundred twenty-one thousand, three hundred twenty-one".