10112211221101 has 32 divisors (see below), whose sum is σ = 11489792864256. Its totient is φ = 8816369184000.

The previous prime is 10112211221089. The next prime is 10112211221141.

10112211221101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10112211221101 - 2⁵ = 10112211221069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211221141) 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, 350289070 + ... + 350317936.

It is an arithmetic number, because the mean of its divisors is an integer number (359056027008).

Almost surely, 2^{10112211221101} is an apocalyptic number.

10112211221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112211221101 is a deficient number, since it is larger than the sum of its proper divisors (1377581643155).

10112211221101 is a wasteful number, since it uses less digits than its factorization.

10112211221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38113.

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

It can be divided in two parts, 1011221 and 1221101, that added together give a palindrome (2232322).

The spelling of 10112211221101 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".