10211200002020 has 24 divisors (see below), whose sum is σ = 21447888415800. Its totient is φ = 4083647922432.

The previous prime is 10211200001963. The next prime is 10211200002037. The reversal of 10211200002020 is 2020000211201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2889326839204 + 7321873162816 = 1699802^2 + 2705896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211200001992 and 10211200002010.

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, 51904265 + ... + 52100624.

It is an arithmetic number, because the mean of its divisors is an integer number (893662017325).

Almost surely, 2^{10211200002020} is an apocalyptic number.

10211200002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200002020 is an abundant number, since it is smaller than the sum of its proper divisors (11236688413780).

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

10211200002020 is a wasteful number, since it uses less digits than its factorization.

10211200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104009807 (or 104009805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10211200002020 its reverse (2020000211201), we get a palindrome (12231200213221).

The spelling of 10211200002020 in words is "ten trillion, two hundred eleven billion, two hundred million, two thousand, twenty".