110010210001020 has 384 divisors, whose sum is σ = 408614259916800. Its totient is φ = 24024788815104.

The previous prime is 110010210000989. The next prime is 110010210001117. The reversal of 110010210001020 is 20100012010011.

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 = 110010210000993 and 110010210001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76402501 + ... + 77829059.

It is an arithmetic number, because the mean of its divisors is an integer number (1064099635200).

Almost surely, 2^{110010210001020} is an apocalyptic number.

110010210001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010210001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204307129958400).

110010210001020 is an abundant number, since it is smaller than the sum of its proper divisors (298604049915780).

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

110010210001020 is a wasteful number, since it uses less digits than its factorization.

110010210001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427494 (or 1427486 counting only the distinct ones).

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

Adding to 110010210001020 its reverse (20100012010011), we get a palindrome (130110222011031).

The spelling of 110010210001020 in words is "one hundred ten trillion, ten billion, two hundred ten million, one thousand, twenty".