10111000021121 has 8 divisors (see below), whose sum is σ = 10126717370280. Its totient is φ = 10095284731392.

The previous prime is 10111000021103. The next prime is 10111000021151. The reversal of 10111000021121 is 12112000011101.

It can be written as a sum of positive squares in 4 ways, for example, as 1982576641600 + 8128423379521 = 1408040^2 + 2851039^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111000021121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111000021151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9462035 + ... + 10476263.

It is an arithmetic number, because the mean of its divisors is an integer number (1265839671285).

Almost surely, 2^{10111000021121} is an apocalyptic number.

It is an amenable number.

10111000021121 is a deficient number, since it is larger than the sum of its proper divisors (15717349159).

10111000021121 is a wasteful number, since it uses less digits than its factorization.

10111000021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029715.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111000021121 its reverse (12112000011101), we get a palindrome (22223000032222).

The spelling of 10111000021121 in words is "ten trillion, one hundred eleven billion, twenty-one thousand, one hundred twenty-one".