100100123012130 has 128 divisors (see below), whose sum is σ = 249494785134336. Its totient is φ = 25683120230400.

The previous prime is 100100123012119. The next prime is 100100123012143. The reversal of 100100123012130 is 31210321001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1061899200 + ... + 1061993460.

It is an arithmetic number, because the mean of its divisors is an integer number (1949178008862).

Almost surely, 2^{100100123012130} is an apocalyptic number.

100100123012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100123012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124747392567168).

100100123012130 is an abundant number, since it is smaller than the sum of its proper divisors (149394662122206).

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

100100123012130 is a wasteful number, since it uses less digits than its factorization.

100100123012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106212.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100100123012130 its reverse (31210321001001), we get a palindrome (131310444013131).

The spelling of 100100123012130 in words is "one hundred trillion, one hundred billion, one hundred twenty-three million, twelve thousand, one hundred thirty".