101101110099961 has 2 divisors, whose sum is σ = 101101110099962. Its totient is φ = 101101110099960.

The previous prime is 101101110099937. The next prime is 101101110100007. The reversal of 101101110099961 is 169990011101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88109554915561 + 12991555184400 = 9386669^2 + 3604380^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101110099961 - 2⁷ = 101101110099833 is a prime.

It is a super-2 number, since 2×101101110099961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101110093961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555049980 + 50550555049981.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555049981).

Almost surely, 2^{101101110099961} is an apocalyptic number.

It is an amenable number.

101101110099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110099961 is an equidigital number, since it uses as much as digits as its factorization.

101101110099961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 40.

The spelling of 101101110099961 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ninety-nine thousand, nine hundred sixty-one".