110021001121001 has 6 divisors (see below), whose sum is σ = 116873520222270. Its totient is φ = 103549177525376.

The previous prime is 110021001120997. The next prime is 110021001121061. The reversal of 110021001121001 is 100121100120011.

It can be written as a sum of positive squares in 3 ways, for example, as 69781630531600 + 40239370589401 = 8353540^2 + 6343451^2 .

It is not a de Polignac number, because 110021001121001 - 2² = 110021001120997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110021001121061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190347752516 + ... + 190347753093.

It is an arithmetic number, because the mean of its divisors is an integer number (19478920037045).

Almost surely, 2^{110021001121001} is an apocalyptic number.

It is an amenable number.

110021001121001 is a deficient number, since it is larger than the sum of its proper divisors (6852519101269).

110021001121001 is an equidigital number, since it uses as much as digits as its factorization.

110021001121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380695505643 (or 380695505626 counting only the distinct ones).

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

Adding to 110021001121001 its reverse (100121100120011), we get a palindrome (210142101241012).

The spelling of 110021001121001 in words is "one hundred ten trillion, twenty-one billion, one million, one hundred twenty-one thousand, one".