11000101099961 has 2 divisors, whose sum is σ = 11000101099962. Its totient is φ = 11000101099960.

The previous prime is 11000101099951. The next prime is 11000101100041. The reversal of 11000101099961 is 16999010100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10919455891600 + 80645208361 = 3304460^2 + 283981^2 .

It is an emirp because it is prime and its reverse (16999010100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000101099961 - 2³⁴ = 10982921230777 is a prime.

It is a super-2 number, since 2×11000101099961² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11000101099951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050549980 + 5500050549981.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050549981).

Almost surely, 2^{11000101099961} is an apocalyptic number.

It is an amenable number.

11000101099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000101099961 is an equidigital number, since it uses as much as digits as its factorization.

11000101099961 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.

Adding to 11000101099961 its reverse (16999010100011), we get a palindrome (27999111199972).

The spelling of 11000101099961 in words is "eleven trillion, one hundred one million, ninety-nine thousand, nine hundred sixty-one".