10221000012201 has 48 divisors (see below), whose sum is σ = 15418662336000. Its totient is φ = 6013698324480.

The previous prime is 10221000012107. The next prime is 10221000012241.

10221000012201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10221000012201 - 2⁹ = 10221000011689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221000012241) 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, 5183080 + ... + 6877958.

It is an arithmetic number, because the mean of its divisors is an integer number (321222132000).

Almost surely, 2^{10221000012201} is an apocalyptic number.

10221000012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221000012201 is a deficient number, since it is larger than the sum of its proper divisors (5197662323799).

10221000012201 is a wasteful number, since it uses less digits than its factorization.

10221000012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695390 (or 1695379 counting only the distinct ones).

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

It can be divided in two parts, 102210000 and 12201, that added together give a palindrome (102222201).

The spelling of 10221000012201 in words is "ten trillion, two hundred twenty-one billion, twelve thousand, two hundred one".