100110212020 has 96 divisors (see below), whose sum is σ = 259830144000. Its totient is φ = 31550529024.

The previous prime is 100110212009. The next prime is 100110212021. The reversal of 100110212020 is 20212011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100110211988 and 100110212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319906 + ... + 550054.

It is an arithmetic number, because the mean of its divisors is an integer number (2706564000).

Almost surely, 2^100110212020 is an apocalyptic number.

100110212020 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 100110212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129915072000).

100110212020 is an abundant number, since it is smaller than the sum of its proper divisors (159719931980).

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

100110212020 is a wasteful number, since it uses less digits than its factorization.

100110212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230417 (or 230415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100110212020 its reverse (20212011001), we get a palindrome (120322223021).

The spelling of 100110212020 in words is "one hundred billion, one hundred ten million, two hundred twelve thousand, twenty".