10002201000101 has 4 divisors (see below), whose sum is σ = 10002708513900. Its totient is φ = 10001693486304.

The previous prime is 10002201000091. The next prime is 10002201000137. The reversal of 10002201000101 is 10100010220001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1888903891876 + 8113297108225 = 1374374^2 + 2848385^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002201000101 - 2¹⁴ = 10002200983717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002201003101) 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 3 ways as a sum of consecutive naturals, for example, 253727336 + ... + 253766753.

It is an arithmetic number, because the mean of its divisors is an integer number (2500677128475).

Almost surely, 2^{10002201000101} is an apocalyptic number.

It is an amenable number.

10002201000101 is a deficient number, since it is larger than the sum of its proper divisors (507513799).

10002201000101 is an equidigital number, since it uses as much as digits as its factorization.

10002201000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507513798.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002201000101 its reverse (10100010220001), we get a palindrome (20102211220102).

The spelling of 10002201000101 in words is "ten trillion, two billion, two hundred one million, one hundred one", and thus it is an aban number.