10100121220211 has 16 divisors (see below), whose sum is σ = 11037757040640. Its totient is φ = 9165740174880.

The previous prime is 10100121220183. The next prime is 10100121220213. The reversal of 10100121220211 is 11202212100101.

It is a cyclic number.

It is not a de Polignac number, because 10100121220211 - 2²² = 10100117025907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100121220213) 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, 13837145 + ... + 14548773.

It is an arithmetic number, because the mean of its divisors is an integer number (689859815040).

Almost surely, 2^{10100121220211} is an apocalyptic number.

10100121220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100121220211 is a deficient number, since it is larger than the sum of its proper divisors (937635820429).

10100121220211 is a wasteful number, since it uses less digits than its factorization.

10100121220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713914.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100121220211 its reverse (11202212100101), we get a palindrome (21302333320312).

The spelling of 10100121220211 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred twenty thousand, two hundred eleven".