210100110211020 has 96 divisors (see below), whose sum is σ = 598066013825280. Its totient is φ = 55095159663360.

The previous prime is 210100110210967. The next prime is 210100110211039. The reversal of 210100110211020 is 20112011001012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210100110210987 and 210100110211005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8638459 + ... + 22244621.

It is an arithmetic number, because the mean of its divisors is an integer number (6229854310680).

Almost surely, 2^{210100110211020} is an apocalyptic number.

210100110211020 is a gapful number since it is divisible by the number (20) 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 210100110211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299033006912640).

210100110211020 is an abundant number, since it is smaller than the sum of its proper divisors (387965903614260).

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

210100110211020 is a wasteful number, since it uses less digits than its factorization.

210100110211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13610455 (or 13610453 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210100110211020 its reverse (20112011001012), we get a palindrome (230212121212032).

The spelling of 210100110211020 in words is "two hundred ten trillion, one hundred billion, one hundred ten million, two hundred eleven thousand, twenty".