101112121120963 has 2 divisors, whose sum is σ = 101112121120964. Its totient is φ = 101112121120962.

The previous prime is 101112121120951. The next prime is 101112121121027. The reversal of 101112121120963 is 369021121211101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101112121120963 - 2²⁵ = 101112087566531 is a prime.

It is a super-2 number, since 2×101112121120963² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112121120463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060560481 + 50556060560482.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060560482).

Almost surely, 2^{101112121120963} is an apocalyptic number.

101112121120963 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112121120963 is an equidigital number, since it uses as much as digits as its factorization.

101112121120963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 101112121120963 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, nine hundred sixty-three".