10200122100201 has 16 divisors (see below), whose sum is σ = 14838173676288. Its totient is φ = 6181211998800.

The previous prime is 10200122100167. The next prime is 10200122100241.

10200122100201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10200122100201 - 2²⁷ = 10199987882473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10200122100241) 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 15 ways as a sum of consecutive naturals, for example, 16700031 + ... + 17300036.

It is an arithmetic number, because the mean of its divisors is an integer number (927385854768).

Almost surely, 2^{10200122100201} is an apocalyptic number.

10200122100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200122100201 is a deficient number, since it is larger than the sum of its proper divisors (4638051576087).

10200122100201 is a wasteful number, since it uses less digits than its factorization.

10200122100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34009172.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1020012 and 2100201, that added together give a palindrome (3120213).

The spelling of 10200122100201 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, two hundred one".