100123133030130 has 128 divisors (see below), whose sum is σ = 274867084800000. Its totient is φ = 22864993853184.

The previous prime is 100123133030069. The next prime is 100123133030159. The reversal of 100123133030130 is 31030331321001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100123133030097 and 100123133030106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103251996 + ... + 1103342744.

It is an arithmetic number, because the mean of its divisors is an integer number (2147399100000).

Almost surely, 2^{100123133030130} is an apocalyptic number.

100123133030130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100123133030130 is an abundant number, since it is smaller than the sum of its proper divisors (174743951769870).

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

100123133030130 is a wasteful number, since it uses less digits than its factorization.

100123133030130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95368.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100123133030130 its reverse (31030331321001), we get a palindrome (131153464351131).

The spelling of 100123133030130 in words is "one hundred trillion, one hundred twenty-three billion, one hundred thirty-three million, thirty thousand, one hundred thirty".