11012111112121 has 16 divisors (see below), whose sum is σ = 12656964365568. Its totient is φ = 9385331904000.

The previous prime is 11012111112089. The next prime is 11012111112131. The reversal of 11012111112121 is 12121111121011.

It is a cyclic number.

It is not a de Polignac number, because 11012111112121 - 2⁵ = 11012111112089 is a prime.

It is a super-2 number, since 2×11012111112121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11012111112095 and 11012111112104.

It is not an unprimeable number, because it can be changed into a prime (11012111112131) 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, 5388325 + ... + 7145506.

It is an arithmetic number, because the mean of its divisors is an integer number (791060272848).

Almost surely, 2^{11012111112121} is an apocalyptic number.

It is an amenable number.

11012111112121 is a deficient number, since it is larger than the sum of its proper divisors (1644853253447).

11012111112121 is a wasteful number, since it uses less digits than its factorization.

11012111112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534552.

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

Adding to 11012111112121 its reverse (12121111121011), we get a palindrome (23133222233132).

The spelling of 11012111112121 in words is "eleven trillion, twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".