10211200110221 has 16 divisors (see below), whose sum is σ = 11813098667328. Its totient is φ = 8723267961600.

The previous prime is 10211200110179. The next prime is 10211200110253. The reversal of 10211200110221 is 12201100211201.

It is a cyclic number.

It is not a de Polignac number, because 10211200110221 - 2¹⁸ = 10211199848077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211200110196 and 10211200110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211200110271) 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 15 ways as a sum of consecutive naturals, for example, 42341150 + ... + 42581631.

It is an arithmetic number, because the mean of its divisors is an integer number (738318666708).

Almost surely, 2^{10211200110221} is an apocalyptic number.

10211200110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211200110221 is a deficient number, since it is larger than the sum of its proper divisors (1601898557107).

10211200110221 is a wasteful number, since it uses less digits than its factorization.

10211200110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84923452.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211200110221 its reverse (12201100211201), we get a palindrome (22412300321422).

The spelling of 10211200110221 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred ten thousand, two hundred twenty-one".