1012000211121 has 16 divisors (see below), whose sum is σ = 1384860283200. Its totient is φ = 657129758208.

The previous prime is 1012000211113. The next prime is 1012000211129. The reversal of 1012000211121 is 1211120002101.

It is an interprime number because it is at equal distance from previous prime (1012000211113) and next prime (1012000211129).

It is not a de Polignac number, because 1012000211121 - 2³ = 1012000211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012000211097 and 1012000211106.

It is not an unprimeable number, because it can be changed into a prime (1012000211129) 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, 28267656 + ... + 28303433.

It is an arithmetic number, because the mean of its divisors is an integer number (86553767700).

Almost surely, 2^{1012000211121} is an apocalyptic number.

It is an amenable number.

1012000211121 is a deficient number, since it is larger than the sum of its proper divisors (372860072079).

1012000211121 is an equidigital number, since it uses as much as digits as its factorization.

1012000211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56571248.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012000211121 its reverse (1211120002101), we get a palindrome (2223120213222).

The spelling of 1012000211121 in words is "one trillion, twelve billion, two hundred eleven thousand, one hundred twenty-one".