100110101211221 has 8 divisors (see below), whose sum is σ = 106001499925080. Its totient is φ = 94218987967488.

The previous prime is 100110101211217. The next prime is 100110101211223. The reversal of 100110101211221 is 122112101011001.

It can be written as a sum of positive squares in 4 ways, for example, as 9805258882225 + 90304842328996 = 3131335^2 + 9502886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110101211221 - 2² = 100110101211217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101211196 and 100110101211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101211223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70645316 + ... + 72048461.

It is an arithmetic number, because the mean of its divisors is an integer number (13250187490635).

Almost surely, 2^{100110101211221} is an apocalyptic number.

It is an amenable number.

100110101211221 is a deficient number, since it is larger than the sum of its proper divisors (5891398713859).

100110101211221 is a wasteful number, since it uses less digits than its factorization.

100110101211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142735063.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100110101211221 its reverse (122112101011001), we get a palindrome (222222202222222).

The spelling of 100110101211221 in words is "one hundred trillion, one hundred ten billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".