10221112102211 has 8 divisors (see below), whose sum is σ = 10666670194464. Its totient is φ = 9775650836160.

The previous prime is 10221112102199. The next prime is 10221112102217. The reversal of 10221112102211 is 11220121112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221112102211 - 2¹⁴ = 10221112085827 is a prime.

It is a super-2 number, since 2×10221112102211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221112102211.

It is not an unprimeable number, because it can be changed into a prime (10221112102217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23990786 + ... + 24413111.

It is an arithmetic number, because the mean of its divisors is an integer number (1333333774308).

Almost surely, 2^{10221112102211} is an apocalyptic number.

10221112102211 is a deficient number, since it is larger than the sum of its proper divisors (445558092253).

10221112102211 is an equidigital number, since it uses as much as digits as its factorization.

10221112102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48413101.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221112102211 its reverse (11220121112201), we get a palindrome (21441233214412).

The spelling of 10221112102211 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, one hundred two thousand, two hundred eleven".