10011221101101 has 32 divisors (see below), whose sum is σ = 15103410500736. Its totient is φ = 5844972960000.

The previous prime is 10011221101093. The next prime is 10011221101109. The reversal of 10011221101101 is 10110112211001.

It is an interprime number because it is at equal distance from previous prime (10011221101093) and next prime (10011221101109).

It is not a de Polignac number, because 10011221101101 - 2³ = 10011221101093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011221101109) 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, 40466770 + ... + 40713411.

It is an arithmetic number, because the mean of its divisors is an integer number (471981578148).

Almost surely, 2^{10011221101101} is an apocalyptic number.

10011221101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011221101101 is a deficient number, since it is larger than the sum of its proper divisors (5092189399635).

10011221101101 is a wasteful number, since it uses less digits than its factorization.

10011221101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81180333.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011221101101 its reverse (10110112211001), we get a palindrome (20121333312102).

The spelling of 10011221101101 in words is "ten trillion, eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred one".