1011112102121 has 4 divisors (see below), whose sum is σ = 1103031384144. Its totient is φ = 919192820100.

The previous prime is 1011112102093. The next prime is 1011112102171. The reversal of 1011112102121 is 1212012111101.

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 a de Polignac number, because none of the positive numbers 2^k-1011112102121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011112102096 and 1011112102105.

It is not an unprimeable number, because it can be changed into a prime (1011112102171) 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 3 ways as a sum of consecutive naturals, for example, 45959640995 + ... + 45959641016.

It is an arithmetic number, because the mean of its divisors is an integer number (275757846036).

Almost surely, 2^{1011112102121} is an apocalyptic number.

1011112102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011112102121 is a deficient number, since it is larger than the sum of its proper divisors (91919282023).

1011112102121 is an equidigital number, since it uses as much as digits as its factorization.

1011112102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91919282022.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011112102121 its reverse (1212012111101), we get a palindrome (2223124213222).

The spelling of 1011112102121 in words is "one trillion, eleven billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".