101012100221 has 2 divisors, whose sum is σ = 101012100222. Its totient is φ = 101012100220.

The previous prime is 101012100181. The next prime is 101012100247. The reversal of 101012100221 is 122001210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84980995225 + 16031104996 = 291515^2 + 126614^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012100221 - 2¹⁰ = 101012099197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012100271) 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, 50506050110 + 50506050111.

It is an arithmetic number, because the mean of its divisors is an integer number (50506050111).

Almost surely, 2^101012100221 is an apocalyptic number.

It is an amenable number.

101012100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012100221 is an equidigital number, since it uses as much as digits as its factorization.

101012100221 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 11.

Adding to 101012100221 its reverse (122001210101), we get a palindrome (223013310322).

The spelling of 101012100221 in words is "one hundred one billion, twelve million, one hundred thousand, two hundred twenty-one".