10120212200101 has 8 divisors (see below), whose sum is σ = 10327696565400. Its totient is φ = 9914588681472.

The previous prime is 10120212200081. The next prime is 10120212200107. The reversal of 10120212200101 is 10100221202101.

10120212200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119128522500 + 10001083677601 = 345150^2 + 3162449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120212200101 - 2¹¹ = 10120212198053 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 (10120212200107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465200680 + ... + 465222433.

It is an arithmetic number, because the mean of its divisors is an integer number (1290962070675).

Almost surely, 2^{10120212200101} is an apocalyptic number.

It is an amenable number.

10120212200101 is a deficient number, since it is larger than the sum of its proper divisors (207484365299).

10120212200101 is an equidigital number, since it uses as much as digits as its factorization.

10120212200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930423335.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120212200101 its reverse (10100221202101), we get a palindrome (20220433402202).

The spelling of 10120212200101 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred thousand, one hundred one".