11100002112121 has 32 divisors (see below), whose sum is σ = 12950510670720. Its totient is φ = 9421831332864.

The previous prime is 11100002112113. The next prime is 11100002112127. The reversal of 11100002112121 is 12121120000111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11100002112121 - 2³ = 11100002112113 is a prime.

It is a super-2 number, since 2×11100002112121² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100002112127) 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 31 ways as a sum of consecutive naturals, for example, 485970 + ... + 4736683.

It is an arithmetic number, because the mean of its divisors is an integer number (404703458460).

Almost surely, 2^{11100002112121} is an apocalyptic number.

It is an amenable number.

11100002112121 is a deficient number, since it is larger than the sum of its proper divisors (1850508558599).

11100002112121 is a wasteful number, since it uses less digits than its factorization.

11100002112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222905.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11100002112121 its reverse (12121120000111), we get a palindrome (23221122112232).

The spelling of 11100002112121 in words is "eleven trillion, one hundred billion, two million, one hundred twelve thousand, one hundred twenty-one".