1012121112121 has 16 divisors (see below), whose sum is σ = 1178599724928. Its totient is φ = 851116780800.

The previous prime is 1012121112097. The next prime is 1012121112133. The reversal of 1012121112121 is 1212111212101.

It is a cyclic number.

It is not a de Polignac number, because 1012121112121 - 2²⁹ = 1011584241209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012121112095 and 1012121112104.

It is not an unprimeable number, because it can be changed into a prime (1012121112521) 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, 7730161 + ... + 7860001.

It is an arithmetic number, because the mean of its divisors is an integer number (73662482808).

Almost surely, 2^{1012121112121} is an apocalyptic number.

It is an amenable number.

1012121112121 is a deficient number, since it is larger than the sum of its proper divisors (166478612807).

1012121112121 is a wasteful number, since it uses less digits than its factorization.

1012121112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150912.

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

Adding to 1012121112121 its reverse (1212111212101), we get a palindrome (2224232324222).

The spelling of 1012121112121 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".