101211109912949 has 2 divisors, whose sum is σ = 101211109912950. Its totient is φ = 101211109912948.

The previous prime is 101211109912919. The next prime is 101211109912963. The reversal of 101211109912949 is 949219901112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96464180137924 + 4746929775025 = 9821618^2 + 2178745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211109912949 - 2¹⁶ = 101211109847413 is a prime.

It is a super-2 number, since 2×101211109912949² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211109912897 and 101211109912906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211109912919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605554956474 + 50605554956475.

It is an arithmetic number, because the mean of its divisors is an integer number (50605554956475).

Almost surely, 2^{101211109912949} is an apocalyptic number.

It is an amenable number.

101211109912949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211109912949 is an equidigital number, since it uses as much as digits as its factorization.

101211109912949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 50.

The spelling of 101211109912949 in words is "one hundred one trillion, two hundred eleven billion, one hundred nine million, nine hundred twelve thousand, nine hundred forty-nine".