10010202100000 has 72 divisors (see below), whose sum is σ = 24632905369716. Its totient is φ = 4004080800000.

The previous prime is 10010202099983. The next prime is 10010202100021. The reversal of 10010202100000 is 120201001.

It can be written as a sum of positive squares in 6 ways, for example, as 1686538574224 + 8323663525776 = 1298668^2 + 2885076^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49951011 + ... + 50151010.

Almost surely, 2^{10010202100000} is an apocalyptic number.

10010202100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010202100000 is an abundant number, since it is smaller than the sum of its proper divisors (14622703269716).

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

10010202100000 is an frugal number, since it uses more digits than its factorization.

10010202100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100102056 (or 100102028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010202100000 its reverse (120201001), we get a palindrome (10010322301001).

The spelling of 10010202100000 in words is "ten trillion, ten billion, two hundred two million, one hundred thousand".