10100011002020 has 12 divisors (see below), whose sum is σ = 21210023104284. Its totient is φ = 4040004400800.

The previous prime is 10100011001981. The next prime is 10100011002043. The reversal of 10100011002020 is 2020011000101.

It can be written as a sum of positive squares in 2 ways, for example, as 7110798225664 + 2989212776356 = 2666608^2 + 1728934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100011001989 and 10100011002007.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252500275031 + ... + 252500275070.

It is an arithmetic number, because the mean of its divisors is an integer number (1767501925357).

Almost surely, 2^{10100011002020} is an apocalyptic number.

10100011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011002020 is an abundant number, since it is smaller than the sum of its proper divisors (11110012102264).

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

10100011002020 is a wasteful number, since it uses less digits than its factorization.

10100011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505000550110 (or 505000550108 counting only the distinct ones).

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

Adding to 10100011002020 its reverse (2020011000101), we get a palindrome (12120022002121).

The spelling of 10100011002020 in words is "ten trillion, one hundred billion, eleven million, two thousand, twenty".