1000100210020 has 24 divisors (see below), whose sum is σ = 2100873310200. Its totient is φ = 399913823232.

The previous prime is 1000100209939. The next prime is 1000100210077. The reversal of 1000100210020 is 200120010001.

1000100210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28207874304 + 971892335716 = 167952^2 + 985846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000100209985 and 1000100210012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7826335 + ... + 7953094.

It is an arithmetic number, because the mean of its divisors is an integer number (87536387925).

Almost surely, 2^{1000100210020} is an apocalyptic number.

1000100210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100210020 is an abundant number, since it is smaller than the sum of its proper divisors (1100773100180).

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

1000100210020 is a wasteful number, since it uses less digits than its factorization.

1000100210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782607 (or 15782605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000100210020 its reverse (200120010001), we get a palindrome (1200220220021).

The spelling of 1000100210020 in words is "one trillion, one hundred million, two hundred ten thousand, twenty".