10111112220121 has 32 divisors (see below), whose sum is σ = 11855813385600. Its totient is φ = 8526151342080.

The previous prime is 10111112220109. The next prime is 10111112220127. The reversal of 10111112220121 is 12102221111101.

It is a cyclic number.

It is not a de Polignac number, because 10111112220121 - 2¹³ = 10111112211929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111112220095 and 10111112220104.

It is not an unprimeable number, because it can be changed into a prime (10111112220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328476 + ... + 4508893.

It is an arithmetic number, because the mean of its divisors is an integer number (370494168300).

Almost surely, 2^{10111112220121} is an apocalyptic number.

10111112220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111112220121 is a deficient number, since it is larger than the sum of its proper divisors (1744701165479).

10111112220121 is a wasteful number, since it uses less digits than its factorization.

10111112220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837609.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10111112220121 its reverse (12102221111101), we get a palindrome (22213333331222).

The spelling of 10111112220121 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".