11121010212101 has 8 divisors (see below), whose sum is σ = 11242384239864. Its totient is φ = 10999857067200.

The previous prime is 11121010212089. The next prime is 11121010212131. The reversal of 11121010212101 is 10121201012111.

It can be written as a sum of positive squares in 4 ways, for example, as 7815882576100 + 3305127636001 = 2795690^2 + 1818001^2 .

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 11121010212101 - 2¹⁸ = 11121009949957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121010212131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55119470 + ... + 55320863.

It is an arithmetic number, because the mean of its divisors is an integer number (1405298029983).

Almost surely, 2^{11121010212101} is an apocalyptic number.

It is an amenable number.

11121010212101 is a deficient number, since it is larger than the sum of its proper divisors (121374027763).

11121010212101 is a wasteful number, since it uses less digits than its factorization.

11121010212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110441431.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121010212101 its reverse (10121201012111), we get a palindrome (21242211224212).

The spelling of 11121010212101 in words is "eleven trillion, one hundred twenty-one billion, ten million, two hundred twelve thousand, one hundred one".