10202100120001 has 8 divisors (see below), whose sum is σ = 10568677713408. Its totient is φ = 9837864876000.

The previous prime is 10202100119989. The next prime is 10202100120013. The reversal of 10202100120001 is 10002100120201.

10202100120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10202100119989) and next prime (10202100120013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202100120001 - 2³⁵ = 10167740381633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202100120001.

It is not an unprimeable number, because it can be changed into a prime (10202100120301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585578485 + ... + 585595906.

It is an arithmetic number, because the mean of its divisors is an integer number (1321084714176).

Almost surely, 2^{10202100120001} is an apocalyptic number.

It is an amenable number.

10202100120001 is a deficient number, since it is larger than the sum of its proper divisors (366577593407).

10202100120001 is a wasteful number, since it uses less digits than its factorization.

10202100120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171174703.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202100120001 its reverse (10002100120201), we get a palindrome (20204200240202).

The spelling of 10202100120001 in words is "ten trillion, two hundred two billion, one hundred million, one hundred twenty thousand, one".