10112211112121 has 4 divisors (see below), whose sum is σ = 10112532054144. Its totient is φ = 10111890170100.

The previous prime is 10112211112117. The next prime is 10112211112127. The reversal of 10112211112121 is 12121111221101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10112211112121 - 2² = 10112211112117 is a prime.

It is a super-2 number, since 2×10112211112121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10112211112121.

It is not an unprimeable number, because it can be changed into a prime (10112211112127) 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 3 ways as a sum of consecutive naturals, for example, 160423745 + ... + 160486766.

It is an arithmetic number, because the mean of its divisors is an integer number (2528133013536).

Almost surely, 2^{10112211112121} is an apocalyptic number.

It is an amenable number.

10112211112121 is a deficient number, since it is larger than the sum of its proper divisors (320942023).

10112211112121 is an equidigital number, since it uses as much as digits as its factorization.

10112211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320942022.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 10112211112121 its reverse (12121111221101), we get a palindrome (22233322333222).

The spelling of 10112211112121 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".