10010000102201 has 8 divisors (see below), whose sum is σ = 10921014074208. Its totient is φ = 9099155124000.

The previous prime is 10010000102173. The next prime is 10010000102231. The reversal of 10010000102201 is 10220100001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010000102201 - 2¹⁰ = 10010000101177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010000102231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42124580 + ... + 42361541.

It is an arithmetic number, because the mean of its divisors is an integer number (1365126759276).

Almost surely, 2^{10010000102201} is an apocalyptic number.

10010000102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010000102201 is a deficient number, since it is larger than the sum of its proper divisors (911013972007).

10010000102201 is a wasteful number, since it uses less digits than its factorization.

10010000102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84496903.

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

Adding to 10010000102201 its reverse (10220100001001), we get a palindrome (20230100103202).

The spelling of 10010000102201 in words is "ten trillion, ten billion, one hundred two thousand, two hundred one".