100100120210010 has 192 divisors, whose sum is σ = 272530095626880. Its totient is φ = 26433624913920.

The previous prime is 100100120210003. The next prime is 100100120210033. The reversal of 100100120210010 is 10012021001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100120209974 and 100100120210001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309850665 + ... + 310173555.

It is an arithmetic number, because the mean of its divisors is an integer number (1419427581390).

Almost surely, 2^{100100120210010} is an apocalyptic number.

100100120210010 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 100100120210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136265047813440).

100100120210010 is an abundant number, since it is smaller than the sum of its proper divisors (172429975416870).

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

100100120210010 is a wasteful number, since it uses less digits than its factorization.

100100120210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324155 (or 324143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100120210010 its reverse (10012021001001), we get a palindrome (110112141211011).

The spelling of 100100120210010 in words is "one hundred trillion, one hundred billion, one hundred twenty million, two hundred ten thousand, ten".