201121211222101 has 16 divisors (see below), whose sum is σ = 218763795863088. Its totient is φ = 184150553804800.

The previous prime is 201121211222069. The next prime is 201121211222167. The reversal of 201121211222101 is 101222112121102.

It is a happy number.

201121211222101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9133624900 + 201112077597201 = 95570^2 + 14181399^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121211222101 - 2⁵ = 201121211222069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121211222171) 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, 408468790 + ... + 408960871.

It is an arithmetic number, because the mean of its divisors is an integer number (13672737241443).

Almost surely, 2^{201121211222101} is an apocalyptic number.

It is an amenable number.

201121211222101 is a deficient number, since it is larger than the sum of its proper divisors (17642584640987).

201121211222101 is a wasteful number, since it uses less digits than its factorization.

201121211222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817430072.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201121211222101 its reverse (101222112121102), we get a palindrome (302343323343203).

The spelling of 201121211222101 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".