10112121201 has 64 divisors (see below), whose sum is σ = 17076842496. Its totient is φ = 5179334400.

The previous prime is 10112121197. The next prime is 10112121209. The reversal of 10112121201 is 10212121101.

It is not a de Polignac number, because 10112121201 - 2² = 10112121197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112121209) 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 63 ways as a sum of consecutive naturals, for example, 9807556 + ... + 9808586.

It is an arithmetic number, because the mean of its divisors is an integer number (266825664).

Almost surely, 2^10112121201 is an apocalyptic number.

It is an amenable number.

10112121201 is a deficient number, since it is larger than the sum of its proper divisors (6964721295).

10112121201 is a wasteful number, since it uses less digits than its factorization.

10112121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062.

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

Adding to 10112121201 its reverse (10212121101), we get a palindrome (20324242302).

It can be divided in two parts, 1011 and 2121201, that added together give a palindrome (2122212).

The spelling of 10112121201 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".