101211120209873 has 2 divisors, whose sum is σ = 101211120209874. Its totient is φ = 101211120209872.

The previous prime is 101211120209861. The next prime is 101211120209879. The reversal of 101211120209873 is 378902021112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101206980188224 + 4140021649 = 10060168^2 + 64343^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211120209873 - 2⁴² = 96813073698769 is a prime.

It is a super-2 number, since 2×101211120209873² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101211120209879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605560104936 + 50605560104937.

It is an arithmetic number, because the mean of its divisors is an integer number (50605560104937).

Almost surely, 2^{101211120209873} is an apocalyptic number.

It is an amenable number.

101211120209873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211120209873 is an equidigital number, since it uses as much as digits as its factorization.

101211120209873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 38.

The spelling of 101211120209873 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, two hundred nine thousand, eight hundred seventy-three".