10202222220201 has 24 divisors (see below), whose sum is σ = 16232308862016. Its totient is φ = 6123134247840.

The previous prime is 10202222220191. The next prime is 10202222220233.

10202222220201 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 222 + 220 + 201 = 666.

10202222220201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10202222220201 - 2⁹ = 10202222219689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202222220241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500245870 + ... + 500266263.

It is an arithmetic number, because the mean of its divisors is an integer number (676346202584).

Almost surely, 2^{10202222220201} is an apocalyptic number.

10202222220201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202222220201 is a deficient number, since it is larger than the sum of its proper divisors (6030086641815).

10202222220201 is a wasteful number, since it uses less digits than its factorization.

10202222220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000512253 (or 1000512250 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1020222 and 2220201, that added together give a palindrome (3240423).

The spelling of 10202222220201 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred one".