10100121201121 has 16 divisors (see below), whose sum is σ = 11575208960640. Its totient is φ = 8633103816960.

The previous prime is 10100121201119. The next prime is 10100121201133. The reversal of 10100121201121 is 12110212100101.

It is a happy number.

It is not a de Polignac number, because 10100121201121 - 2¹ = 10100121201119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100121201721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6413910 + ... + 7831888.

It is an arithmetic number, because the mean of its divisors is an integer number (723450560040).

Almost surely, 2^{10100121201121} is an apocalyptic number.

It is an amenable number.

10100121201121 is a deficient number, since it is larger than the sum of its proper divisors (1475087759519).

10100121201121 is a wasteful number, since it uses less digits than its factorization.

10100121201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420824.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100121201121 its reverse (12110212100101), we get a palindrome (22210333301222).

The spelling of 10100121201121 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-one".