10001121020001 has 24 divisors (see below), whose sum is σ = 14944753423080. Its totient is φ = 6437266434816.

The previous prime is 10001121019999. The next prime is 10001121020003. The reversal of 10001121020001 is 10002012110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001121019999) and next prime (10001121020003).

It can be written as a sum of positive squares in 4 ways, for example, as 3643990837776 + 6357130182225 = 1908924^2 + 2521335^2 .

It is not a de Polignac number, because 10001121020001 - 2¹ = 10001121019999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001121020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6548611 + ... + 7930103.

It is an arithmetic number, because the mean of its divisors is an integer number (622698059295).

Almost surely, 2^{10001121020001} is an apocalyptic number.

It is an amenable number.

10001121020001 is a deficient number, since it is larger than the sum of its proper divisors (4943632403079).

10001121020001 is a wasteful number, since it uses less digits than its factorization.

10001121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409265 (or 1409262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001121020001 its reverse (10002012110001), we get a palindrome (20003133130002).

The spelling of 10001121020001 in words is "ten trillion, one billion, one hundred twenty-one million, twenty thousand, one".