101000001121111 has 2 divisors, whose sum is σ = 101000001121112. Its totient is φ = 101000001121110.

The previous prime is 101000001121051. The next prime is 101000001121199. The reversal of 101000001121111 is 111121100000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001121111 - 2²³ = 100999992732503 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000001124111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000560555 + 50500000560556.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000560556).

Almost surely, 2^{101000001121111} is an apocalyptic number.

101000001121111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001121111 is an equidigital number, since it uses as much as digits as its factorization.

101000001121111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101000001121111 its reverse (111121100000101), we get a palindrome (212121101121212).

The spelling of 101000001121111 in words is "one hundred one trillion, one million, one hundred twenty-one thousand, one hundred eleven".