101210112009949 has 2 divisors, whose sum is σ = 101210112009950. Its totient is φ = 101210112009948.

The previous prime is 101210112009943. The next prime is 101210112010057. The reversal of 101210112009949 is 949900211012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80562921219225 + 20647190790724 = 8975685^2 + 4543918^2 .

It is an emirp because it is prime and its reverse (949900211012101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101210112009949 - 2²⁹ = 101209575139037 is a prime.

It is a super-3 number, since 3×101210112009949³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210112009943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605056004974 + 50605056004975.

It is an arithmetic number, because the mean of its divisors is an integer number (50605056004975).

Almost surely, 2^{101210112009949} is an apocalyptic number.

It is an amenable number.

101210112009949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210112009949 is an equidigital number, since it uses as much as digits as its factorization.

101210112009949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 101210112009949 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, nine thousand, nine hundred forty-nine".