101111001010949 has 2 divisors, whose sum is σ = 101111001010950. Its totient is φ = 101111001010948.

The previous prime is 101111001010919. The next prime is 101111001011023. The reversal of 101111001010949 is 949010100111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90678863277025 + 10432137733924 = 9522545^2 + 3229882^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111001010949 - 2²⁸ = 101110732575493 is a prime.

It is a super-2 number, since 2×101111001010949² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111001010909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500505474 + 50555500505475.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500505475).

Almost surely, 2^{101111001010949} is an apocalyptic number.

It is an amenable number.

101111001010949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001010949 is an equidigital number, since it uses as much as digits as its factorization.

101111001010949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 29.

The spelling of 101111001010949 in words is "one hundred one trillion, one hundred eleven billion, one million, ten thousand, nine hundred forty-nine".