10211100011121 has 8 divisors (see below), whose sum is σ = 13655200016224. Its totient is φ = 6787200006720.

The previous prime is 10211100011113. The next prime is 10211100011197. The reversal of 10211100011121 is 12111000111201.

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

It is not a de Polignac number, because 10211100011121 - 2³ = 10211100011113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211100011097 and 10211100011106.

It is not an unprimeable number, because it can be changed into a prime (10211100012121) 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 7 ways as a sum of consecutive naturals, for example, 5049998995 + ... + 5050001016.

It is an arithmetic number, because the mean of its divisors is an integer number (1706900002028).

Almost surely, 2^{10211100011121} is an apocalyptic number.

It is an amenable number.

10211100011121 is a deficient number, since it is larger than the sum of its proper divisors (3444100005103).

10211100011121 is a wasteful number, since it uses less digits than its factorization.

10211100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100000351.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211100011121 its reverse (12111000111201), we get a palindrome (22322100122322).

The spelling of 10211100011121 in words is "ten trillion, two hundred eleven billion, one hundred million, eleven thousand, one hundred twenty-one".