101121201211873 has 2 divisors, whose sum is σ = 101121201211874. Its totient is φ = 101121201211872.

The previous prime is 101121201211831. The next prime is 101121201211879. The reversal of 101121201211873 is 378112102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74757258627984 + 26363942583889 = 8646228^2 + 5134583^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201211873 - 2⁹ = 101121201211361 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121201211879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600605936 + 50560600605937.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600605937).

Almost surely, 2^{101121201211873} is an apocalyptic number.

It is an amenable number.

101121201211873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201211873 is an equidigital number, since it uses as much as digits as its factorization.

101121201211873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 31.

Adding to 101121201211873 its reverse (378112102121101), we get a palindrome (479233303332974).

The spelling of 101121201211873 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, eight hundred seventy-three".