101000121211001 has 4 divisors (see below), whose sum is σ = 101364742587492. Its totient is φ = 100635499834512.

The previous prime is 101000121210917. The next prime is 101000121211013. The reversal of 101000121211001 is 100112121000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 49670075290000 + 51330045921001 = 7047700^2 + 7164499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000121211001 - 2¹⁴ = 101000121194617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000121211081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182310687830 + ... + 182310688383.

It is an arithmetic number, because the mean of its divisors is an integer number (25341185646873).

Almost surely, 2^{101000121211001} is an apocalyptic number.

It is an amenable number.

101000121211001 is a deficient number, since it is larger than the sum of its proper divisors (364621376491).

101000121211001 is an equidigital number, since it uses as much as digits as its factorization.

101000121211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364621376490.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000121211001 its reverse (100112121000101), we get a palindrome (201112242211102).

The spelling of 101000121211001 in words is "one hundred one trillion, one hundred twenty-one million, two hundred eleven thousand, one".