10202121021001 has 24 divisors (see below), whose sum is σ = 12780894936264. Its totient is φ = 8071871512320.

The previous prime is 10202121020939. The next prime is 10202121021073. The reversal of 10202121021001 is 10012012120201.

10202121021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18618875401 + 10183502145600 = 136451^2 + 3191160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10202121021001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10202121081001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55672141 + ... + 55855093.

It is an arithmetic number, because the mean of its divisors is an integer number (532537289011).

Almost surely, 2^{10202121021001} is an apocalyptic number.

It is an amenable number.

10202121021001 is a deficient number, since it is larger than the sum of its proper divisors (2578773915263).

10202121021001 is a wasteful number, since it uses less digits than its factorization.

10202121021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270521 (or 270514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202121021001 its reverse (10012012120201), we get a palindrome (20214133141202).

The spelling of 10202121021001 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, twenty-one thousand, one".