110000011222101 has 256 divisors, whose sum is σ = 208594469486592. Its totient is φ = 49732144128000.

The previous prime is 110000011222091. The next prime is 110000011222117. The reversal of 110000011222101 is 101222110000011.

It is not a de Polignac number, because 110000011222101 - 2⁶ = 110000011222037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000011222121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 527339641 + ... + 527548193.

It is an arithmetic number, because the mean of its divisors is an integer number (814822146432).

Almost surely, 2^{110000011222101} is an apocalyptic number.

110000011222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000011222101 is a deficient number, since it is larger than the sum of its proper divisors (98594458264491).

110000011222101 is a wasteful number, since it uses less digits than its factorization.

110000011222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208772.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110000011222101 its reverse (101222110000011), we get a palindrome (211222121222112).

The spelling of 110000011222101 in words is "one hundred ten trillion, eleven million, two hundred twenty-two thousand, one hundred one".