10021121000001 has 48 divisors (see below), whose sum is σ = 15001132635216. Its totient is φ = 6442834065408.

The previous prime is 10021120999993. The next prime is 10021121000017. The reversal of 10021121000001 is 10000012112001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4676077555776 + 5345043444225 = 2162424^2 + 2311935^2 .

It is not a de Polignac number, because 10021121000001 - 2³ = 10021120999993 is a prime.

It is a super-2 number, since 2×10021121000001² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10021121400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9711445 + ... + 10693661.

It is an arithmetic number, because the mean of its divisors is an integer number (312523596567).

Almost surely, 2^{10021121000001} is an apocalyptic number.

It is an amenable number.

10021121000001 is a deficient number, since it is larger than the sum of its proper divisors (4980011635215).

10021121000001 is a wasteful number, since it uses less digits than its factorization.

10021121000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982642 (or 982639 counting only the distinct ones).

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

Adding to 10021121000001 its reverse (10000012112001), we get a palindrome (20021133112002).

The spelling of 10021121000001 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, one", and thus it is an aban number.