10210222201201 has 16 divisors (see below), whose sum is σ = 11794924893888. Its totient is φ = 8735056588800.

The previous prime is 10210222201147. The next prime is 10210222201229.

It is a happy number.

10210222201201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10210222201201 - 2³⁵ = 10175862462833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210222201271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302960 + ... + 4702993.

It is an arithmetic number, because the mean of its divisors is an integer number (737182805868).

Almost surely, 2^{10210222201201} is an apocalyptic number.

10210222201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210222201201 is a deficient number, since it is larger than the sum of its proper divisors (1584702692687).

10210222201201 is a wasteful number, since it uses less digits than its factorization.

10210222201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015072.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1021022 and 2201201, that added together give a palindrome (3222223).

The spelling of 10210222201201 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, two hundred one thousand, two hundred one".