110100121121221 has 128 divisors (see below), whose sum is σ = 149879860669440. Its totient is φ = 78274584576000.

The previous prime is 110100121121201. The next prime is 110100121121231. The reversal of 110100121121221 is 122121121001011.

It is not a de Polignac number, because 110100121121221 - 2²¹ = 110100119024069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100121121195 and 110100121121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100121121201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1322180575 + ... + 1322263843.

It is an arithmetic number, because the mean of its divisors is an integer number (1170936411480).

Almost surely, 2^{110100121121221} is an apocalyptic number.

110100121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100121121221 is a deficient number, since it is larger than the sum of its proper divisors (39779739548219).

110100121121221 is a wasteful number, since it uses less digits than its factorization.

110100121121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83615.

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

Adding to 110100121121221 its reverse (122121121001011), we get a palindrome (232221242122232).

It can be divided in two parts, 1101001 and 21121221, that added together give a palindrome (22222222).

The spelling of 110100121121221 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".