10001022102201 has 32 divisors (see below), whose sum is σ = 14372340502912. Its totient is φ = 6149377128960.

The previous prime is 10001022102191. The next prime is 10001022102263. The reversal of 10001022102201 is 10220122010001.

10001022102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001022102201 - 2²¹ = 10001020005049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001022102271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645511011 + ... + 645526503.

It is an arithmetic number, because the mean of its divisors is an integer number (449135640716).

Almost surely, 2^{10001022102201} is an apocalyptic number.

It is an amenable number.

10001022102201 is a deficient number, since it is larger than the sum of its proper divisors (4371318400711).

10001022102201 is a wasteful number, since it uses less digits than its factorization.

10001022102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28153.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001022102201 its reverse (10220122010001), we get a palindrome (20221144112202).

The spelling of 10001022102201 in words is "ten trillion, one billion, twenty-two million, one hundred two thousand, two hundred one".