11101221111101 has 32 divisors (see below), whose sum is σ = 12599220816000. Its totient is φ = 9688660128000.

The previous prime is 11101221111083. The next prime is 11101221111139. The reversal of 11101221111101 is 10111112210111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11101221111101 is a prime.

It is a super-2 number, since 2×11101221111101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101221111181) 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, 524894675 + ... + 524915823.

It is an arithmetic number, because the mean of its divisors is an integer number (393725650500).

Almost surely, 2^{11101221111101} is an apocalyptic number.

11101221111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101221111101 is a deficient number, since it is larger than the sum of its proper divisors (1497999704899).

11101221111101 is a wasteful number, since it uses less digits than its factorization.

11101221111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30461.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11101221111101 its reverse (10111112210111), we get a palindrome (21212333321212).

The spelling of 11101221111101 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred one".