10002101210020 has 12 divisors (see below), whose sum is σ = 21004412541084. Its totient is φ = 4000840484000.

The previous prime is 10002101209979. The next prime is 10002101210041. The reversal of 10002101210020 is 2001210120001.

It can be written as a sum of positive squares in 2 ways, for example, as 7900900209316 + 2101201000704 = 2810854^2 + 1449552^2 .

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 = 10002101209979 and 10002101210006.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 250052530231 + ... + 250052530270.

It is an arithmetic number, because the mean of its divisors is an integer number (1750367711757).

Almost surely, 2^{10002101210020} is an apocalyptic number.

10002101210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002101210020 is an abundant number, since it is smaller than the sum of its proper divisors (11002311331064).

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

10002101210020 is a wasteful number, since it uses less digits than its factorization.

10002101210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500105060510 (or 500105060508 counting only the distinct ones).

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

Adding to 10002101210020 its reverse (2001210120001), we get a palindrome (12003311330021).

The spelling of 10002101210020 in words is "ten trillion, two billion, one hundred one million, two hundred ten thousand, twenty".