10120212211101 has 16 divisors (see below), whose sum is σ = 14287487788224. Its totient is φ = 6349879574784.

The previous prime is 10120212211013. The next prime is 10120212211111. The reversal of 10120212211101 is 10111221202101.

It is a happy number.

It is not a de Polignac number, because 10120212211101 - 2⁷ = 10120212210973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212211111) 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, 5189550 + ... + 6868176.

It is an arithmetic number, because the mean of its divisors is an integer number (892967986764).

Almost surely, 2^{10120212211101} is an apocalyptic number.

It is an amenable number.

10120212211101 is a deficient number, since it is larger than the sum of its proper divisors (4167275577123).

10120212211101 is a wasteful number, since it uses less digits than its factorization.

10120212211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796860.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10120212211101 its reverse (10111221202101), we get a palindrome (20231433413202).

The spelling of 10120212211101 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred one".