10201011211221 has 32 divisors (see below), whose sum is σ = 14555946405888. Its totient is φ = 6332245032960.

The previous prime is 10201011211219. The next prime is 10201011211229. The reversal of 10201011211221 is 12211211010201.

It is a happy number.

It is not a de Polignac number, because 10201011211221 - 2¹ = 10201011211219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201011211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201011211229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55561 + ... + 4517201.

It is an arithmetic number, because the mean of its divisors is an integer number (454873325184).

Almost surely, 2^{10201011211221} is an apocalyptic number.

It is an amenable number.

10201011211221 is a deficient number, since it is larger than the sum of its proper divisors (4354935194667).

10201011211221 is a wasteful number, since it uses less digits than its factorization.

10201011211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462141.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201011211221 its reverse (12211211010201), we get a palindrome (22412222221422).

It can be divided in two parts, 1020101 and 1211221, that added together give a palindrome (2231322).

The spelling of 10201011211221 in words is "ten trillion, two hundred one billion, eleven million, two hundred eleven thousand, two hundred twenty-one".