110112220021001 has 36 divisors (see below), whose sum is σ = 121714691274036. Its totient is φ = 99540875427840.

The previous prime is 110112220020973. The next prime is 110112220021019. The reversal of 110112220021001 is 100120022211011.

It can be written as a sum of positive squares in 2 ways, for example, as 87776661966400 + 22335558054601 = 9368920^2 + 4726051^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110112220021001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110112220021201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9664895561 + ... + 9664906953.

It is an arithmetic number, because the mean of its divisors is an integer number (3380963646501).

Almost surely, 2^{110112220021001} is an apocalyptic number.

110112220021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110112220021001 is a deficient number, since it is larger than the sum of its proper divisors (11602471253035).

110112220021001 is a wasteful number, since it uses less digits than its factorization.

110112220021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110112220021001 its reverse (100120022211011), we get a palindrome (210232242232012).

The spelling of 110112220021001 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty million, twenty-one thousand, one".