100051224141 has 48 divisors (see below), whose sum is σ = 149058330624. Its totient is φ = 59637732000.

The previous prime is 100051224137. The next prime is 100051224149. The reversal of 100051224141 is 141422150001.

It is not a de Polignac number, because 100051224141 - 2² = 100051224137 is a prime.

It is a super-2 number, since 2×100051224141² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100051224149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11103660 + ... + 11112666.

It is an arithmetic number, because the mean of its divisors is an integer number (3105381888).

Almost surely, 2^100051224141 is an apocalyptic number.

100051224141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100051224141 is a deficient number, since it is larger than the sum of its proper divisors (49007106483).

100051224141 is a wasteful number, since it uses less digits than its factorization.

100051224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 100051224141 its reverse (141422150001), we get a palindrome (241473374142).

The spelling of 100051224141 in words is "one hundred billion, fifty-one million, two hundred twenty-four thousand, one hundred forty-one".