10002010202000 has 40 divisors (see below), whose sum is σ = 24184860673272. Its totient is φ = 4000804080000.

The previous prime is 10002010201957. The next prime is 10002010202003. The reversal of 10002010202000 is 20201020001.

It can be written as a sum of positive squares in 4 ways, for example, as 1206728614144 + 8795281587856 = 1098512^2 + 2965684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10002010202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500500551 + ... + 2500504550.

Almost surely, 2^{10002010202000} is an apocalyptic number.

10002010202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002010202000 is an abundant number, since it is smaller than the sum of its proper divisors (14182850471272).

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

10002010202000 is an equidigital number, since it uses as much as digits as its factorization.

10002010202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001005124 (or 5001005108 counting only the distinct ones).

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

Adding to 10002010202000 its reverse (20201020001), we get a palindrome (10022211222001).

The spelling of 10002010202000 in words is "ten trillion, two billion, ten million, two hundred two thousand".