10202122211201 has 4 divisors (see below), whose sum is σ = 10802247047172. Its totient is φ = 9601997375232.

The previous prime is 10202122211147. The next prime is 10202122211219. The reversal of 10202122211201 is 10211222120201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4728019708801 + 5474102502400 = 2174401^2 + 2339680^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122211201 - 2¹⁰ = 10202122210177 is a prime.

It is a super-2 number, since 2×10202122211201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 600124835953 = 10202122211201 / (1 + 0 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 1 + 1 + 2 + 0 + 1).

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 10202122211201.

It is not an unprimeable number, because it can be changed into a prime (10202122211291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300062417960 + ... + 300062417993.

It is an arithmetic number, because the mean of its divisors is an integer number (2700561761793).

Almost surely, 2^{10202122211201} is an apocalyptic number.

It is an amenable number.

10202122211201 is a deficient number, since it is larger than the sum of its proper divisors (600124835971).

10202122211201 is an equidigital number, since it uses as much as digits as its factorization.

10202122211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600124835970.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202122211201 its reverse (10211222120201), we get a palindrome (20413344331402).

The spelling of 10202122211201 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".