10200210002020 has 48 divisors (see below), whose sum is σ = 23462552035440. Its totient is φ = 3707662536704.

The previous prime is 10200210002011. The next prime is 10200210002033. The reversal of 10200210002020 is 2020001200201.

It can be written as a sum of positive squares in 8 ways, for example, as 25679421504 + 10174530580516 = 160248^2 + 3189754^2 .

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 = 10200210001988 and 10200210002006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517242169 + ... + 517261888.

It is an arithmetic number, because the mean of its divisors is an integer number (488803167405).

Almost surely, 2^{10200210002020} is an apocalyptic number.

10200210002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200210002020 is an abundant number, since it is smaller than the sum of its proper divisors (13262342033420).

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

10200210002020 is a wasteful number, since it uses less digits than its factorization.

10200210002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034504112 (or 1034504110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200210002020 its reverse (2020001200201), we get a palindrome (12220211202221).

The spelling of 10200210002020 in words is "ten trillion, two hundred billion, two hundred ten million, two thousand, twenty".