101111211201137 has 2 divisors, whose sum is σ = 101111211201138. Its totient is φ = 101111211201136.

The previous prime is 101111211201109. The next prime is 101111211201379. The reversal of 101111211201137 is 731102112111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94418067874816 + 6693143326321 = 9716896^2 + 2587111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111211201137 - 2⁶ = 101111211201073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111211203137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555605600568 + 50555605600569.

It is an arithmetic number, because the mean of its divisors is an integer number (50555605600569).

Almost surely, 2^{101111211201137} is an apocalyptic number.

It is an amenable number.

101111211201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111211201137 is an equidigital number, since it uses as much as digits as its factorization.

101111211201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 23.

Adding to 101111211201137 its reverse (731102112111101), we get a palindrome (832213323312238).

The spelling of 101111211201137 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred one thousand, one hundred thirty-seven".