110100011101122 has 128 divisors (see below), whose sum is σ = 259509293568000. Its totient is φ = 30482752156416.

The previous prime is 110100011101121. The next prime is 110100011101133. The reversal of 110100011101122 is 221101110001011.

It is a junction number, because it is equal to n+sod(n) for n = 110100011101098 and 110100011101107.

It is not an unprimeable number, because it can be changed into a prime (110100011101121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454907313 + ... + 455149275.

It is an arithmetic number, because the mean of its divisors is an integer number (2027416356000).

Almost surely, 2^{110100011101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100011101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129754646784000).

110100011101122 is an abundant number, since it is smaller than the sum of its proper divisors (149409282466878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110100011101122 is a wasteful number, since it uses less digits than its factorization.

110100011101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243200.

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

Adding to 110100011101122 its reverse (221101110001011), we get a palindrome (331201121102133).

The spelling of 110100011101122 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred one thousand, one hundred twenty-two".