10120120112101 has 4 divisors (see below), whose sum is σ = 10120152353472. Its totient is φ = 10120087870732.

The previous prime is 10120120112099. The next prime is 10120120112107. The reversal of 10120120112101 is 10121102102101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10120120112101 - 2¹ = 10120120112099 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 (10120120112107) 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 3 ways as a sum of consecutive naturals, for example, 15645181 + ... + 16279186.

It is an arithmetic number, because the mean of its divisors is an integer number (2530038088368).

Almost surely, 2^{10120120112101} is an apocalyptic number.

It is an amenable number.

10120120112101 is a deficient number, since it is larger than the sum of its proper divisors (32241371).

10120120112101 is an equidigital number, since it uses as much as digits as its factorization.

10120120112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32241370.

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

Adding to 10120120112101 its reverse (10121102102101), we get a palindrome (20241222214202).

The spelling of 10120120112101 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, one hundred twelve thousand, one hundred one".