10021120110211 has 16 divisors (see below), whose sum is σ = 11954769767424. Its totient is φ = 8213243046624.

The previous prime is 10021120110139. The next prime is 10021120110229. The reversal of 10021120110211 is 11201102112001.

It is a happy number.

It is not a de Polignac number, because 10021120110211 - 2⁷ = 10021120110083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021120110191 and 10021120110200.

It is not an unprimeable number, because it can be changed into a prime (10021120110241) 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 15 ways as a sum of consecutive naturals, for example, 10253076 + ... + 11187841.

It is an arithmetic number, because the mean of its divisors is an integer number (747173110464).

Almost surely, 2^{10021120110211} is an apocalyptic number.

10021120110211 is a deficient number, since it is larger than the sum of its proper divisors (1933649657213).

10021120110211 is a wasteful number, since it uses less digits than its factorization.

10021120110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443850.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10021120110211 its reverse (11201102112001), we get a palindrome (21222222222212).

The spelling of 10021120110211 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand, two hundred eleven".