11000010221121 has 32 divisors (see below), whose sum is σ = 15176290222080. Its totient is φ = 7079694148800.

The previous prime is 11000010221119. The next prime is 11000010221131. The reversal of 11000010221121 is 12112201000011.

It is not a de Polignac number, because 11000010221121 - 2¹ = 11000010221119 is a prime.

It is a super-3 number, since 3×11000010221121³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000010221097 and 11000010221106.

It is not an unprimeable number, because it can be changed into a prime (11000010221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71692675 + ... + 71845943.

It is an arithmetic number, because the mean of its divisors is an integer number (474259069440).

Almost surely, 2^{11000010221121} is an apocalyptic number.

It is an amenable number.

11000010221121 is a deficient number, since it is larger than the sum of its proper divisors (4176280000959).

11000010221121 is a wasteful number, since it uses less digits than its factorization.

11000010221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155157.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000010221121 its reverse (12112201000011), we get a palindrome (23112211221132).

The spelling of 11000010221121 in words is "eleven trillion, ten million, two hundred twenty-one thousand, one hundred twenty-one".