10221011012201 has 16 divisors (see below), whose sum is σ = 11182428641088. Its totient is φ = 9264968908800.

The previous prime is 10221011012159. The next prime is 10221011012207.

10221011012201 is nontrivially palindromic in base 10.

10221011012201 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 10221011012201 - 2⁶ = 10221011012137 is a prime.

It is a super-3 number, since 3×10221011012201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221011012207) 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, 76976270 + ... + 77108936.

It is an arithmetic number, because the mean of its divisors is an integer number (698901790068).

Almost surely, 2^{10221011012201} is an apocalyptic number.

10221011012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221011012201 is a deficient number, since it is larger than the sum of its proper divisors (961417628887).

10221011012201 is a wasteful number, since it uses less digits than its factorization.

10221011012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152872.

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

It can be divided in two parts, 1022101 and 1012201, that added together give a palindrome (2034302).

The spelling of 10221011012201 in words is "ten trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred one".