211220101011201 has 64 divisors (see below), whose sum is σ = 296624940122112. Its totient is φ = 133567963200000.

The previous prime is 211220101011169. The next prime is 211220101011209. The reversal of 211220101011201 is 102110101022112.

It is a happy number.

It is not a de Polignac number, because 211220101011201 - 2⁵ = 211220101011169 is a prime.

It is a super-2 number, since 2×211220101011201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211220101011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257821776 + ... + 258639726.

It is an arithmetic number, because the mean of its divisors is an integer number (4634764689408).

Almost surely, 2^{211220101011201} is an apocalyptic number.

It is an amenable number.

211220101011201 is a deficient number, since it is larger than the sum of its proper divisors (85404839110911).

211220101011201 is a wasteful number, since it uses less digits than its factorization.

211220101011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818454.

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

Adding to 211220101011201 its reverse (102110101022112), we get a palindrome (313330202033313).

The spelling of 211220101011201 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred one million, eleven thousand, two hundred one".