10202122120201 has 48 divisors (see below), whose sum is σ = 11479294004544. Its totient is φ = 8989937280000.

The previous prime is 10202122120193. The next prime is 10202122120243.

It is a happy number.

10202122120201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10202122120201 - 2³ = 10202122120193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202122120261) 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 47 ways as a sum of consecutive naturals, for example, 1122217666 + ... + 1122226756.

It is an arithmetic number, because the mean of its divisors is an integer number (239151958428).

Almost surely, 2^{10202122120201} is an apocalyptic number.

10202122120201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202122120201 is a deficient number, since it is larger than the sum of its proper divisors (1277171884343).

10202122120201 is a wasteful number, since it uses less digits than its factorization.

10202122120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1020212 and 2120201, that added together give a palindrome (3140413).

The spelling of 10202122120201 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".