10001021122211 has 16 divisors (see below), whose sum is σ = 11543594020800. Its totient is φ = 8486922268800.

The previous prime is 10001021122189. The next prime is 10001021122223. The reversal of 10001021122211 is 11222112010001.

10001021122211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001021122211 - 2¹⁸ = 10001020860067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001021122511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11659265 + ... + 12487613.

It is an arithmetic number, because the mean of its divisors is an integer number (721474626300).

Almost surely, 2^{10001021122211} is an apocalyptic number.

10001021122211 is a deficient number, since it is larger than the sum of its proper divisors (1542572898589).

10001021122211 is a wasteful number, since it uses less digits than its factorization.

10001021122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845534.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001021122211 its reverse (11222112010001), we get a palindrome (21223133132212).

The spelling of 10001021122211 in words is "ten trillion, one billion, twenty-one million, one hundred twenty-two thousand, two hundred eleven".