110122211212101 has 32 divisors (see below), whose sum is σ = 177977970339840. Its totient is φ = 66739729258800.

The previous prime is 110122211212093. The next prime is 110122211212121. The reversal of 110122211212101 is 101212112221011.

It is a happy number.

110122211212101 is a `hidden beast` number, since 110 + 1 + 2 + 221 + 121 + 210 + 1 = 666.

It is not a de Polignac number, because 110122211212101 - 2³ = 110122211212093 is a prime.

It is a super-3 number, since 3×110122211212101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122211212121) 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, 17210086 + ... + 22725128.

It is an arithmetic number, because the mean of its divisors is an integer number (5561811573120).

Almost surely, 2^{110122211212101} is an apocalyptic number.

110122211212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122211212101 is a deficient number, since it is larger than the sum of its proper divisors (67855759127739).

110122211212101 is a wasteful number, since it uses less digits than its factorization.

110122211212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582294 (or 5582288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110122211212101 its reverse (101212112221011), we get a palindrome (211334323433112).

The spelling of 110122211212101 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, one hundred one".