10011112221121 has 32 divisors (see below), whose sum is σ = 11154081345408. Its totient is φ = 8908858736640.

The previous prime is 10011112221037. The next prime is 10011112221133. The reversal of 10011112221121 is 12112221111001.

It is a cyclic number.

It is not a de Polignac number, because 10011112221121 - 2¹³ = 10011112212929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011112221095 and 10011112221104.

It is not an unprimeable number, because it can be changed into a prime (10011112261121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767540226 + ... + 767553268.

It is an arithmetic number, because the mean of its divisors is an integer number (348565042044).

Almost surely, 2^{10011112221121} is an apocalyptic number.

10011112221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011112221121 is a deficient number, since it is larger than the sum of its proper divisors (1142969124287).

10011112221121 is a wasteful number, since it uses less digits than its factorization.

10011112221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20241.

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

Adding to 10011112221121 its reverse (12112221111001), we get a palindrome (22123333332122).

The spelling of 10011112221121 in words is "ten trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".