10005122201151 has 16 divisors (see below), whose sum is σ = 16631891451648. Its totient is φ = 5197466078400.

The previous prime is 10005122201149. The next prime is 10005122201159. The reversal of 10005122201151 is 15110222150001.

It is not a de Polignac number, because 10005122201151 - 2¹ = 10005122201149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005122201159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21656108430 + ... + 21656108891.

It is an arithmetic number, because the mean of its divisors is an integer number (1039493215728).

Almost surely, 2^{10005122201151} is an apocalyptic number.

10005122201151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005122201151 is a deficient number, since it is larger than the sum of its proper divisors (6626769250497).

10005122201151 is a wasteful number, since it uses less digits than its factorization.

10005122201151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43312217342.

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 10005122201151 its reverse (15110222150001), we get a palindrome (25115344351152).

The spelling of 10005122201151 in words is "ten trillion, five billion, one hundred twenty-two million, two hundred one thousand, one hundred fifty-one".