1100110099961 has 2 divisors, whose sum is σ = 1100110099962. Its totient is φ = 1100110099960.

The previous prime is 1100110099951. The next prime is 1100110100051. The reversal of 1100110099961 is 1699900110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 749166415936 + 350943684025 = 865544^2 + 592405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100110099961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100110099901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055049980 + 550055049981.

It is an arithmetic number, because the mean of its divisors is an integer number (550055049981).

Almost surely, 2^{1100110099961} is an apocalyptic number.

It is an amenable number.

1100110099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110099961 is an equidigital number, since it uses as much as digits as its factorization.

1100110099961 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 38.

The spelling of 1100110099961 in words is "one trillion, one hundred billion, one hundred ten million, ninety-nine thousand, nine hundred sixty-one".