10002201021001 has 48 divisors (see below), whose sum is σ = 12015055933632. Its totient is φ = 8298190454400.

The previous prime is 10002201020989. The next prime is 10002201021013. The reversal of 10002201021001 is 10012010220001.

It is an interprime number because it is at equal distance from previous prime (10002201020989) and next prime (10002201021013).

It is not a de Polignac number, because 10002201021001 - 2⁵ = 10002201020969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002201021061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194429655 + ... + 194481091.

It is an arithmetic number, because the mean of its divisors is an integer number (250313665284).

Almost surely, 2^{10002201021001} is an apocalyptic number.

It is an amenable number.

10002201021001 is a deficient number, since it is larger than the sum of its proper divisors (2012854912631).

10002201021001 is an equidigital number, since it uses as much as digits as its factorization.

10002201021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52550 (or 52543 counting only the distinct ones).

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

Adding to 10002201021001 its reverse (10012010220001), we get a palindrome (20014211241002).

The spelling of 10002201021001 in words is "ten trillion, two billion, two hundred one million, twenty-one thousand, one".