101202012011101 has 2 divisors, whose sum is σ = 101202012011102. Its totient is φ = 101202012011100.

The previous prime is 101202012011077. The next prime is 101202012011201. The reversal of 101202012011101 is 101110210202101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59062452744100 + 42139559267001 = 7685210^2 + 6491499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202012011101 - 2⁵ = 101202012011069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202012011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601006005550 + 50601006005551.

It is an arithmetic number, because the mean of its divisors is an integer number (50601006005551).

Almost surely, 2^{101202012011101} is an apocalyptic number.

It is an amenable number.

101202012011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202012011101 is an equidigital number, since it uses as much as digits as its factorization.

101202012011101 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 13.

Adding to 101202012011101 its reverse (101110210202101), we get a palindrome (202312222213202).

The spelling of 101202012011101 in words is "one hundred one trillion, two hundred two billion, twelve million, eleven thousand, one hundred one".