10122110001201 has 32 divisors (see below), whose sum is σ = 15148634370048. Its totient is φ = 5957899496640.

The previous prime is 10122110001191. The next prime is 10122110001251. The reversal of 10122110001201 is 10210001122101.

It is not a de Polignac number, because 10122110001201 - 2¹¹ = 10122109999153 is a prime.

It is a super-2 number, since 2×10122110001201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122110001251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6909825 + ... + 8245598.

It is an arithmetic number, because the mean of its divisors is an integer number (473394824064).

Almost surely, 2^{10122110001201} is an apocalyptic number.

10122110001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122110001201 is a deficient number, since it is larger than the sum of its proper divisors (5026524368847).

10122110001201 is a wasteful number, since it uses less digits than its factorization.

10122110001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15156021.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122110001201 its reverse (10210001122101), we get a palindrome (20332111123302).

The spelling of 10122110001201 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, one thousand, two hundred one".