21102220011201 has 48 divisors (see below), whose sum is σ = 33635577646080. Its totient is φ = 11725175347200.

The previous prime is 21102220011113. The next prime is 21102220011209. The reversal of 21102220011201 is 10211002220112.

It is not a de Polignac number, because 21102220011201 - 2¹¹ = 21102220009153 is a prime.

It is a super-2 number, since 2×21102220011201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21102220011209) 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 47 ways as a sum of consecutive naturals, for example, 7496160 + ... + 9919518.

It is an arithmetic number, because the mean of its divisors is an integer number (700741200960).

Almost surely, 2^{21102220011201} is an apocalyptic number.

21102220011201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102220011201 is a deficient number, since it is larger than the sum of its proper divisors (12533357634879).

21102220011201 is a wasteful number, since it uses less digits than its factorization.

21102220011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425014 (or 2425007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21102220011201 its reverse (10211002220112), we get a palindrome (31313222231313).

The spelling of 21102220011201 in words is "twenty-one trillion, one hundred two billion, two hundred twenty million, eleven thousand, two hundred one".