101012110001221 has 2 divisors, whose sum is σ = 101012110001222. Its totient is φ = 101012110001220.

The previous prime is 101012110001051. The next prime is 101012110001267. The reversal of 101012110001221 is 122100011210101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66293629568100 + 34718480433121 = 8142090^2 + 5892239^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012110001221 - 2¹⁹ = 101012109476933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012110001281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055000610 + 50506055000611.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055000611).

Almost surely, 2^{101012110001221} is an apocalyptic number.

It is an amenable number.

101012110001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012110001221 is an equidigital number, since it uses as much as digits as its factorization.

101012110001221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012110001221 its reverse (122100011210101), we get a palindrome (223112121211322).

The spelling of 101012110001221 in words is "one hundred one trillion, twelve billion, one hundred ten million, one thousand, two hundred twenty-one".