11021011122101 has 16 divisors (see below), whose sum is σ = 11232304741440. Its totient is φ = 10811784211200.

The previous prime is 11021011122083. The next prime is 11021011122119. The reversal of 11021011122101 is 10122111012011.

It is an interprime number because it is at equal distance from previous prime (11021011122083) and next prime (11021011122119).

It is a cyclic number.

It is not a de Polignac number, because 11021011122101 - 2¹⁴ = 11021011105717 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 (11021011122701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35029670 + ... + 35342888.

It is an arithmetic number, because the mean of its divisors is an integer number (702019046340).

Almost surely, 2^{11021011122101} is an apocalyptic number.

It is an amenable number.

11021011122101 is a deficient number, since it is larger than the sum of its proper divisors (211293619339).

11021011122101 is a wasteful number, since it uses less digits than its factorization.

11021011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316516.

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

Adding to 11021011122101 its reverse (10122111012011), we get a palindrome (21143122134112).

The spelling of 11021011122101 in words is "eleven trillion, twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred one".