10120112220101 has 6 divisors (see below), whose sum is σ = 10958464711890. Its totient is φ = 9341642049168.

The previous prime is 10120112220089. The next prime is 10120112220107. The reversal of 10120112220101 is 10102221102101.

It can be written as a sum of positive squares in 3 ways, for example, as 13403619076 + 10106708601025 = 115774^2 + 3179105^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10120112220101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120112220107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29941160246 + ... + 29941160583.

It is an arithmetic number, because the mean of its divisors is an integer number (1826410785315).

Almost surely, 2^{10120112220101} is an apocalyptic number.

It is an amenable number.

10120112220101 is a deficient number, since it is larger than the sum of its proper divisors (838352491789).

10120112220101 is an equidigital number, since it uses as much as digits as its factorization.

10120112220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59882320855 (or 59882320842 counting only the distinct ones).

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

Adding to 10120112220101 its reverse (10102221102101), we get a palindrome (20222333322202).

The spelling of 10120112220101 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty thousand, one hundred one".