100111012011221 has 2 divisors, whose sum is σ = 100111012011222. Its totient is φ = 100111012011220.

The previous prime is 100111012011203. The next prime is 100111012011239. The reversal of 100111012011221 is 122110210111001.

It is a balanced prime because it is at equal distance from previous prime (100111012011203) and next prime (100111012011239).

It can be written as a sum of positive squares in only one way, i.e., 96973472895121 + 3137539116100 = 9847511^2 + 1771310^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111012011221 - 2³⁴ = 100093832142037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111012011196 and 100111012011205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111012017221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055506005610 + 50055506005611.

It is an arithmetic number, because the mean of its divisors is an integer number (50055506005611).

Almost surely, 2^{100111012011221} is an apocalyptic number.

It is an amenable number.

100111012011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111012011221 is an equidigital number, since it uses as much as digits as its factorization.

100111012011221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100111012011221 its reverse (122110210111001), we get a palindrome (222221222122222).

The spelling of 100111012011221 in words is "one hundred trillion, one hundred eleven billion, twelve million, eleven thousand, two hundred twenty-one".