100010144224320 has 224 divisors, whose sum is σ = 364630287329280. Its totient is φ = 22968836904960.

The previous prime is 100010144224283. The next prime is 100010144224411. The reversal of 100010144224320 is 23422441010001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249027192 + ... + 249428471.

It is an arithmetic number, because the mean of its divisors is an integer number (1627813782720).

Almost surely, 2^{100010144224320} is an apocalyptic number.

100010144224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010144224320 is an abundant number, since it is smaller than the sum of its proper divisors (264620143104960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010144224320 is a wasteful number, since it uses less digits than its factorization.

100010144224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498455713 (or 498455703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100010144224320 its reverse (23422441010001), we get a palindrome (123432585234321).

The spelling of 100010144224320 in words is "one hundred trillion, ten billion, one hundred forty-four million, two hundred twenty-four thousand, three hundred twenty".