100211211010061 has 2 divisors, whose sum is σ = 100211211010062. Its totient is φ = 100211211010060.

The previous prime is 100211211010019. The next prime is 100211211010081. The reversal of 100211211010061 is 160010112112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98205503597161 + 2005707412900 = 9909869^2 + 1416230^2 .

It is an emirp because it is prime and its reverse (160010112112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211211010061 - 2⁶ = 100211211009997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211211010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105605505030 + 50105605505031.

It is an arithmetic number, because the mean of its divisors is an integer number (50105605505031).

Almost surely, 2^{100211211010061} is an apocalyptic number.

It is an amenable number.

100211211010061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211211010061 is an equidigital number, since it uses as much as digits as its factorization.

100211211010061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100211211010061 its reverse (160010112112001), we get a palindrome (260221323122062).

The spelling of 100211211010061 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, ten thousand, sixty-one".