101001121091837 has 2 divisors, whose sum is σ = 101001121091838. Its totient is φ = 101001121091836.

The previous prime is 101001121091723. The next prime is 101001121091869. The reversal of 101001121091837 is 738190121100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67082308163641 + 33918812928196 = 8190379^2 + 5823986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001121091837 - 2¹⁰ = 101001121090813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001121091797 and 101001121091806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001121091237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500560545918 + 50500560545919.

It is an arithmetic number, because the mean of its divisors is an integer number (50500560545919).

Almost surely, 2^{101001121091837} is an apocalyptic number.

It is an amenable number.

101001121091837 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001121091837 is an equidigital number, since it uses as much as digits as its factorization.

101001121091837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 35.

Adding to 101001121091837 its reverse (738190121100101), we get a palindrome (839191242191938).

The spelling of 101001121091837 in words is "one hundred one trillion, one billion, one hundred twenty-one million, ninety-one thousand, eight hundred thirty-seven".