10200010020020 has 12 divisors (see below), whose sum is σ = 21420021042084. Its totient is φ = 4080004008000.

The previous prime is 10200010019993. The next prime is 10200010020047. The reversal of 10200010020020 is 2002001000201.

It is an interprime number because it is at equal distance from previous prime (10200010019993) and next prime (10200010020047).

It can be written as a sum of positive squares in 2 ways, for example, as 7719473219236 + 2480536800784 = 2778394^2 + 1574972^2 .

It is a super-3 number, since 3×10200010020020³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 255000250481 + ... + 255000250520.

It is an arithmetic number, because the mean of its divisors is an integer number (1785001753507).

Almost surely, 2^{10200010020020} is an apocalyptic number.

10200010020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200010020020 is an abundant number, since it is smaller than the sum of its proper divisors (11220011022064).

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

10200010020020 is a wasteful number, since it uses less digits than its factorization.

10200010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510000501010 (or 510000501008 counting only the distinct ones).

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

Adding to 10200010020020 its reverse (2002001000201), we get a palindrome (12202011020221).

The spelling of 10200010020020 in words is "ten trillion, two hundred billion, ten million, twenty thousand, twenty".