101120212211101 has 2 divisors, whose sum is σ = 101120212211102. Its totient is φ = 101120212211100.

The previous prime is 101120212211047. The next prime is 101120212211113. The reversal of 101120212211101 is 101112212021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81365343035076 + 19754869176025 = 9020274^2 + 4444645^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120212211101 - 2⁷ = 101120212210973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120212211131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560106105550 + 50560106105551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560106105551).

Almost surely, 2^{101120212211101} is an apocalyptic number.

It is an amenable number.

101120212211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120212211101 is an equidigital number, since it uses as much as digits as its factorization.

101120212211101 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 16.

Adding to 101120212211101 its reverse (101112212021101), we get a palindrome (202232424232202).

The spelling of 101120212211101 in words is "one hundred one trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred one".