10122111222201 has 96 divisors (see below), whose sum is σ = 16485591298176. Its totient is φ = 5930786304000.

The previous prime is 10122111222131. The next prime is 10122111222217. The reversal of 10122111222201 is 10222211122101.

10122111222201 is a `hidden beast` number, since 10 + 1 + 221 + 11 + 222 + 201 = 666.

It is not a de Polignac number, because 10122111222201 - 2²⁷ = 10121977004473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10122111202201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866539081 + ... + 866550761.

It is an arithmetic number, because the mean of its divisors is an integer number (171724909356).

Almost surely, 2^{10122111222201} is an apocalyptic number.

10122111222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122111222201 is a deficient number, since it is larger than the sum of its proper divisors (6363480075975).

10122111222201 is a wasteful number, since it uses less digits than its factorization.

10122111222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13223 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122111222201 its reverse (10222211122101), we get a palindrome (20344322344302).

The spelling of 10122111222201 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred one".