10211220111011 has 8 divisors (see below), whose sum is σ = 10243243486464. Its totient is φ = 10179246813120.

The previous prime is 10211220110989. The next prime is 10211220111083. The reversal of 10211220111011 is 11011102211201.

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

It is a cyclic number.

It is not a de Polignac number, because 10211220111011 - 2³⁰ = 10210146369187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211220111511) 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, 12110915 + ... + 12926588.

It is an arithmetic number, because the mean of its divisors is an integer number (1280405435808).

Almost surely, 2^{10211220111011} is an apocalyptic number.

10211220111011 is a deficient number, since it is larger than the sum of its proper divisors (32023375453).

10211220111011 is an equidigital number, since it uses as much as digits as its factorization.

10211220111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25038781.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211220111011 its reverse (11011102211201), we get a palindrome (21222322322212).

The spelling of 10211220111011 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, one hundred eleven thousand, eleven".