10211201111221 has 16 divisors (see below), whose sum is σ = 11292365344320. Its totient is φ = 9155521998720.

The previous prime is 10211201111213. The next prime is 10211201111273. The reversal of 10211201111221 is 12211110211201.

10211201111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211201111221 - 2³ = 10211201111213 is a prime.

It is a super-2 number, since 2×10211201111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211201111195 and 10211201111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211201111821) 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, 38499366 + ... + 38763688.

It is an arithmetic number, because the mean of its divisors is an integer number (705772834020).

Almost surely, 2^{10211201111221} is an apocalyptic number.

10211201111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211201111221 is a deficient number, since it is larger than the sum of its proper divisors (1081164233099).

10211201111221 is a wasteful number, since it uses less digits than its factorization.

10211201111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312516.

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

Adding to 10211201111221 its reverse (12211110211201), we get a palindrome (22422311322422).

The spelling of 10211201111221 in words is "ten trillion, two hundred eleven billion, two hundred one million, one hundred eleven thousand, two hundred twenty-one".