11211012100221 has 64 divisors (see below), whose sum is σ = 16388839224576. Its totient is φ = 6788136960000.

The previous prime is 11211012100217. The next prime is 11211012100243. The reversal of 11211012100221 is 12200121011211.

It is a happy number.

It is not a de Polignac number, because 11211012100221 - 2² = 11211012100217 is a prime.

It is a super-2 number, since 2×11211012100221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11211012100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211012100201) 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 63 ways as a sum of consecutive naturals, for example, 120500721 + ... + 120593721.

It is an arithmetic number, because the mean of its divisors is an integer number (256075612884).

Almost surely, 2^{11211012100221} is an apocalyptic number.

It is an amenable number.

11211012100221 is a deficient number, since it is larger than the sum of its proper divisors (5177827124355).

11211012100221 is a wasteful number, since it uses less digits than its factorization.

11211012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93582.

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

Adding to 11211012100221 its reverse (12200121011211), we get a palindrome (23411133111432).

The spelling of 11211012100221 in words is "eleven trillion, two hundred eleven billion, twelve million, one hundred thousand, two hundred twenty-one".