10200010122020 has 12 divisors (see below), whose sum is σ = 21420021256284. Its totient is φ = 4080004048800.

The previous prime is 10200010122007. The next prime is 10200010122031. The reversal of 10200010122020 is 2022101000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1081699842304 + 9118310279716 = 1040048^2 + 3019654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200010121992 and 10200010122010.

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, 255000253031 + ... + 255000253070.

It is an arithmetic number, because the mean of its divisors is an integer number (1785001771357).

Almost surely, 2^{10200010122020} is an apocalyptic number.

10200010122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200010122020 is an abundant number, since it is smaller than the sum of its proper divisors (11220011134264).

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

10200010122020 is a wasteful number, since it uses less digits than its factorization.

10200010122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510000506110 (or 510000506108 counting only the distinct ones).

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

Adding to 10200010122020 its reverse (2022101000201), we get a palindrome (12222111122221).

The spelling of 10200010122020 in words is "ten trillion, two hundred billion, ten million, one hundred twenty-two thousand, twenty".