111101001009961 has 2 divisors, whose sum is σ = 111101001009962. Its totient is φ = 111101001009960.

The previous prime is 111101001009941. The next prime is 111101001010019. The reversal of 111101001009961 is 169900100101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109795420545561 + 1305580464400 = 10478331^2 + 1142620^2 .

It is an emirp because it is prime and its reverse (169900100101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101001009961 - 2²⁷ = 111100866792233 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101001009941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550500504980 + 55550500504981.

It is an arithmetic number, because the mean of its divisors is an integer number (55550500504981).

Almost surely, 2^{111101001009961} is an apocalyptic number.

It is an amenable number.

111101001009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101001009961 is an equidigital number, since it uses as much as digits as its factorization.

111101001009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 31.

The spelling of 111101001009961 in words is "one hundred eleven trillion, one hundred one billion, one million, nine thousand, nine hundred sixty-one".