10122211012201 has 16 divisors (see below), whose sum is σ = 10283887936000. Its totient is φ = 9961396106688.

The previous prime is 10122211012169. The next prime is 10122211012253. The reversal of 10122211012201 is 10221011222101.

It is a cyclic number.

It is not a de Polignac number, because 10122211012201 - 2⁵ = 10122211012169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122211016201) 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, 68936875 + ... + 69083551.

It is an arithmetic number, because the mean of its divisors is an integer number (642742996000).

Almost surely, 2^{10122211012201} is an apocalyptic number.

It is an amenable number.

10122211012201 is a deficient number, since it is larger than the sum of its proper divisors (161676923799).

10122211012201 is a wasteful number, since it uses less digits than its factorization.

10122211012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149608.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122211012201 its reverse (10221011222101), we get a palindrome (20343222234302).

The spelling of 10122211012201 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand, two hundred one".