100110201020 has 48 divisors (see below), whose sum is σ = 216061056288. Its totient is φ = 38940042240.

The previous prime is 100110201017. The next prime is 100110201047. The reversal of 100110201020 is 20102011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110200989 and 100110201007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52904 + ... + 450576.

It is an arithmetic number, because the mean of its divisors is an integer number (4501272006).

Almost surely, 2^100110201020 is an apocalyptic number.

100110201020 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 100110201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108030528144).

100110201020 is an abundant number, since it is smaller than the sum of its proper divisors (115950855268).

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

100110201020 is a wasteful number, since it uses less digits than its factorization.

100110201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398030 (or 398028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100110201020 its reverse (20102011001), we get a palindrome (120212212021).

The spelling of 100110201020 in words is "one hundred billion, one hundred ten million, two hundred one thousand, twenty".