100110211010020 has 48 divisors (see below), whose sum is σ = 212315474106288. Its totient is φ = 39647135577600.

The previous prime is 100110211010011. The next prime is 100110211010041. The reversal of 100110211010020 is 20010112011001.

It can be written as a sum of positive squares in 8 ways, for example, as 4273472948644 + 95836738061376 = 2067238^2 + 9789624^2 .

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 = 100110211009979 and 100110211010006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204173074 + ... + 204662806.

It is an arithmetic number, because the mean of its divisors is an integer number (4423239043881).

Almost surely, 2^{100110211010020} is an apocalyptic number.

100110211010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110211010020 is an abundant number, since it is smaller than the sum of its proper divisors (112205263096268).

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

100110211010020 is a wasteful number, since it uses less digits than its factorization.

100110211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591040 (or 591038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110211010020 its reverse (20010112011001), we get a palindrome (120120323021021).

The spelling of 100110211010020 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, ten thousand, twenty".