101100012011221 has 2 divisors, whose sum is σ = 101100012011222. Its totient is φ = 101100012011220.

The previous prime is 101100012011177. The next prime is 101100012011239. The reversal of 101100012011221 is 122110210001101.

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., 77741446386321 + 23358565624900 = 8817111^2 + 4833070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100012011221 - 2⁹ = 101100012010709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100012011021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550006005610 + 50550006005611.

It is an arithmetic number, because the mean of its divisors is an integer number (50550006005611).

Almost surely, 2^{101100012011221} is an apocalyptic number.

It is an amenable number.

101100012011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100012011221 is an equidigital number, since it uses as much as digits as its factorization.

101100012011221 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 101100012011221 its reverse (122110210001101), we get a palindrome (223210222012322).

The spelling of 101100012011221 in words is "one hundred one trillion, one hundred billion, twelve million, eleven thousand, two hundred twenty-one".