10011000211121 has 32 divisors (see below), whose sum is σ = 12443462373888. Its totient is φ = 7842246336000.

The previous prime is 10011000211109. The next prime is 10011000211127. The reversal of 10011000211121 is 12111200011001.

It is a cyclic number.

It is not a de Polignac number, because 10011000211121 - 2¹⁰ = 10011000210097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011000211127) 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, 45602621 + ... + 45821621.

It is an arithmetic number, because the mean of its divisors is an integer number (388858199184).

Almost surely, 2^{10011000211121} is an apocalyptic number.

It is an amenable number.

10011000211121 is a deficient number, since it is larger than the sum of its proper divisors (2432462162767).

10011000211121 is a wasteful number, since it uses less digits than its factorization.

10011000211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224001.

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

Adding to 10011000211121 its reverse (12111200011001), we get a palindrome (22122200222122).

The spelling of 10011000211121 in words is "ten trillion, eleven billion, two hundred eleven thousand, one hundred twenty-one".