100012101002221 has 2 divisors, whose sum is σ = 100012101002222. Its totient is φ = 100012101002220.

The previous prime is 100012101002197. The next prime is 100012101002249. The reversal of 100012101002221 is 122200101210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99826675168900 + 185425833321 = 9991330^2 + 430611^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012101002221 - 2³⁵ = 99977741263853 is a prime.

It is a super-3 number, since 3×100012101002221³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012101062221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006050501110 + 50006050501111.

It is an arithmetic number, because the mean of its divisors is an integer number (50006050501111).

Almost surely, 2^{100012101002221} is an apocalyptic number.

It is an amenable number.

100012101002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012101002221 is an equidigital number, since it uses as much as digits as its factorization.

100012101002221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012101002221 its reverse (122200101210001), we get a palindrome (222212202212222).

The spelling of 100012101002221 in words is "one hundred trillion, twelve billion, one hundred one million, two thousand, two hundred twenty-one".