101112111120101 has 2 divisors, whose sum is σ = 101112111120102. Its totient is φ = 101112111120100.

The previous prime is 101112111120067. The next prime is 101112111120121. The reversal of 101112111120101 is 101021111211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66175133736100 + 34936977384001 = 8134810^2 + 5910751^2 .

It is an emirp because it is prime and its reverse (101021111211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112111120101 - 2⁴⁶ = 30743366942437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112111120121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556055560050 + 50556055560051.

It is an arithmetic number, because the mean of its divisors is an integer number (50556055560051).

Almost surely, 2^{101112111120101} is an apocalyptic number.

It is an amenable number.

101112111120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112111120101 is an equidigital number, since it uses as much as digits as its factorization.

101112111120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101112111120101 its reverse (101021111211101), we get a palindrome (202133222331202).

It can be divided in two parts, 10111211 and 1120101, that multiplied together give a palindrome (11325577552311).

The spelling of 101112111120101 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty thousand, one hundred one".