10211111112121 has 8 divisors (see below), whose sum is σ = 10341759141000. Its totient is φ = 10081042454400.

The previous prime is 10211111112101. The next prime is 10211111112227. The reversal of 10211111112121 is 12121111111201.

It can be written as a sum of positive squares in 4 ways, for example, as 1781170506025 + 8429940606096 = 1334605^2 + 2903436^2 .

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 10211111112121 - 2²⁹ = 10210574241209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211111112095 and 10211111112104.

It is not an unprimeable number, because it can be changed into a prime (10211111112101) 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 7 ways as a sum of consecutive naturals, for example, 144807316 + ... + 144877813.

It is an arithmetic number, because the mean of its divisors is an integer number (1292719892625).

Almost surely, 2^{10211111112121} is an apocalyptic number.

It is an amenable number.

10211111112121 is a deficient number, since it is larger than the sum of its proper divisors (130648028879).

10211111112121 is a wasteful number, since it uses less digits than its factorization.

10211111112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289685579.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 10211111112121 its reverse (12121111111201), we get a palindrome (22332222223322).

The spelling of 10211111112121 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".