10112021121121 has 8 divisors (see below), whose sum is σ = 10116383604840. Its totient is φ = 10107659280768.

The previous prime is 10112021121079. The next prime is 10112021121133. The reversal of 10112021121121 is 12112112021101.

It can be written as a sum of positive squares in 4 ways, for example, as 497432573521 + 9614588547600 = 705289^2 + 3100740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10112021121121 - 2²⁹ = 10111484250209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112021121095 and 10112021121104.

It is not an unprimeable number, because it can be changed into a prime (10112021121151) 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 7 ways as a sum of consecutive naturals, for example, 32719165 + ... + 33026773.

It is an arithmetic number, because the mean of its divisors is an integer number (1264547950605).

Almost surely, 2^{10112021121121} is an apocalyptic number.

It is an amenable number.

10112021121121 is a deficient number, since it is larger than the sum of its proper divisors (4362483719).

10112021121121 is a wasteful number, since it uses less digits than its factorization.

10112021121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321683.

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

Adding to 10112021121121 its reverse (12112112021101), we get a palindrome (22224133142222).

The spelling of 10112021121121 in words is "ten trillion, one hundred twelve billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".