100110110210010 has 64 divisors (see below), whose sum is σ = 266980362105600. Its totient is φ = 26694022568256.

The previous prime is 100110110210003. The next prime is 100110110210017. The reversal of 100110110210010 is 10012011011001.

It is an interprime number because it is at equal distance from previous prime (100110110210003) and next prime (100110110210017).

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 = 100110110209974 and 100110110210001.

It is not an unprimeable number, because it can be changed into a prime (100110110210017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10336174 + ... + 17523033.

It is an arithmetic number, because the mean of its divisors is an integer number (4171568157900).

Almost surely, 2^{100110110210010} is an apocalyptic number.

100110110210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110110210010 is an abundant number, since it is smaller than the sum of its proper divisors (166870251895590).

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

100110110210010 is a wasteful number, since it uses less digits than its factorization.

100110110210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27872532 (or 27872526 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110110210010 its reverse (10012011011001), we get a palindrome (110122121221011).

The spelling of 100110110210010 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, two hundred ten thousand, ten".