10001022100201 has 16 divisors (see below), whose sum is σ = 11182143931200. Its totient is φ = 8865913129920.

The previous prime is 10001022100187. The next prime is 10001022100211. The reversal of 10001022100201 is 10200122010001.

It is not a de Polignac number, because 10001022100201 - 2²⁷ = 10000887882473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001022100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16956226 + ... + 17536123.

It is an arithmetic number, because the mean of its divisors is an integer number (698883995700).

Almost surely, 2^{10001022100201} is an apocalyptic number.

10001022100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001022100201 is a deficient number, since it is larger than the sum of its proper divisors (1181121830999).

10001022100201 is a wasteful number, since it uses less digits than its factorization.

10001022100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493016.

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

Adding to 10001022100201 its reverse (10200122010001), we get a palindrome (20201144110202).

The spelling of 10001022100201 in words is "ten trillion, one billion, twenty-two million, one hundred thousand, two hundred one".