10002111122201 has 4 divisors (see below), whose sum is σ = 10911393951504. Its totient is φ = 9092828292900.

The previous prime is 10002111122161. The next prime is 10002111122233. The reversal of 10002111122201 is 10222111120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10002111122201 - 2³⁰ = 10001037380377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002111122261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454641414635 + ... + 454641414656.

It is an arithmetic number, because the mean of its divisors is an integer number (2727848487876).

Almost surely, 2^{10002111122201} is an apocalyptic number.

10002111122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002111122201 is a deficient number, since it is larger than the sum of its proper divisors (909282829303).

10002111122201 is an equidigital number, since it uses as much as digits as its factorization.

10002111122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909282829302.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002111122201 its reverse (10222111120001), we get a palindrome (20224222242202).

The spelling of 10002111122201 in words is "ten trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".