10202110221001 has 8 divisors (see below), whose sum is σ = 10369662396104. Its totient is φ = 10034567867520.

The previous prime is 10202110220971. The next prime is 10202110221029. The reversal of 10202110221001 is 10012201120201.

It can be written as a sum of positive squares in 4 ways, for example, as 52246987776 + 10149863233225 = 228576^2 + 3185885^2 .

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 10202110221001 - 2³⁵ = 10167750482633 is a prime.

It is a super-2 number, since 2×10202110221001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202110221071) 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, 346110 + ... + 4530343.

It is an arithmetic number, because the mean of its divisors is an integer number (1296207799513).

Almost surely, 2^{10202110221001} is an apocalyptic number.

It is an amenable number.

10202110221001 is a deficient number, since it is larger than the sum of its proper divisors (167552175103).

10202110221001 is an equidigital number, since it uses as much as digits as its factorization.

10202110221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910811.

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

Adding to 10202110221001 its reverse (10012201120201), we get a palindrome (20214311341202).

The spelling of 10202110221001 in words is "ten trillion, two hundred two billion, one hundred ten million, two hundred twenty-one thousand, one".