1012112121121 has 4 divisors (see below), whose sum is σ = 1012805825200. Its totient is φ = 1011418417044.

The previous prime is 1012112121107. The next prime is 1012112121143. The reversal of 1012112121121 is 1211212112101.

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 1012112121121 - 2⁵ = 1012112121089 is a prime.

It is a super-3 number, since 3×1012112121121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012112121095 and 1012112121104.

It is not an unprimeable number, because it can be changed into a prime (1012112121721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346849851 + ... + 346852768.

It is an arithmetic number, because the mean of its divisors is an integer number (253201456300).

Almost surely, 2^{1012112121121} is an apocalyptic number.

It is an amenable number.

1012112121121 is a deficient number, since it is larger than the sum of its proper divisors (693704079).

1012112121121 is an equidigital number, since it uses as much as digits as its factorization.

1012112121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693704078.

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

Adding to 1012112121121 its reverse (1211212112101), we get a palindrome (2223324233222).

The spelling of 1012112121121 in words is "one trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-one".