10120002101 has 6 divisors (see below), whose sum is σ = 11123638806. Its totient is φ = 9200001800.

The previous prime is 10120002083. The next prime is 10120002157.

10120002101 is nontrivially palindromic in base 10.

10120002101 is digitally balanced in base 3, 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 only one way, i.e., 5254800100 + 4865202001 = 72490^2 + 69751^2 .

It is not a de Polignac number, because 10120002101 - 2²² = 10115807797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120005101) 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 5 ways as a sum of consecutive naturals, for example, 41818070 + ... + 41818311.

It is an arithmetic number, because the mean of its divisors is an integer number (1853939801).

Almost surely, 2^10120002101 is an apocalyptic number.

10120002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120002101 is a deficient number, since it is larger than the sum of its proper divisors (1003636705).

10120002101 is an equidigital number, since it uses as much as digits as its factorization.

10120002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83636403 (or 83636392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1012000 and 2101, that added together give a palindrome (1014101).

The spelling of 10120002101 in words is "ten billion, one hundred twenty million, two thousand, one hundred one".