10002002211010 has 16 divisors (see below), whose sum is σ = 18004013564472. Its totient is φ = 4000709865600.

The previous prime is 10002002210989. The next prime is 10002002211017. The reversal of 10002002211010 is 1011220020001.

It can be written as a sum of positive squares in 4 ways, for example, as 8266309264161 + 1735692946849 = 2875119^2 + 1317457^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10002002211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10914921 + ... + 11795740.

Almost surely, 2^{10002002211010} is an apocalyptic number.

10002002211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002002211010 is a deficient number, since it is larger than the sum of its proper divisors (8002011353462).

10002002211010 is a wasteful number, since it uses less digits than its factorization.

10002002211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22754709.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002002211010 its reverse (1011220020001), we get a palindrome (11013222231011).

The spelling of 10002002211010 in words is "ten trillion, two billion, two million, two hundred eleven thousand, ten".