10122211012211 has 8 divisors (see below), whose sum is σ = 10146023898624. Its totient is φ = 10098399642760.

The previous prime is 10122211012169. The next prime is 10122211012253. The reversal of 10122211012211 is 11221011222101.

10122211012211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122211012169) and next prime (10122211012253).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122211012211 is a prime.

It is a super-2 number, since 2×10122211012211² (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 10122211012211.

It is not an unprimeable number, because it can be changed into a prime (10122211032211) 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, 13585610 + ... + 14311296.

It is an arithmetic number, because the mean of its divisors is an integer number (1268252987328).

Almost surely, 2^{10122211012211} is an apocalyptic number.

10122211012211 is a deficient number, since it is larger than the sum of its proper divisors (23812886413).

10122211012211 is an equidigital number, since it uses as much as digits as its factorization.

10122211012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758481.

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

Adding to 10122211012211 its reverse (11221011222101), we get a palindrome (21343222234312).

The spelling of 10122211012211 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand, two hundred eleven".