10102020101 has 18 divisors (see below), whose sum is σ = 10419761142. Its totient is φ = 9792979200.

The previous prime is 10102020091. The next prime is 10102020119.

10102020101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 9 ways, for example, as 31696900 + 10070323201 = 5630^2 + 100351^2 .

It is not a de Polignac number, because 10102020101 - 2¹⁰ = 10102019077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102020151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73737305 + ... + 73737441.

It is an arithmetic number, because the mean of its divisors is an integer number (578875619).

Almost surely, 2^10102020101 is an apocalyptic number.

It is an amenable number.

10102020101 is a deficient number, since it is larger than the sum of its proper divisors (317741041).

10102020101 is an frugal number, since it uses more digits than its factorization.

10102020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 311 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, 101020 and 20101, that added together give a palindrome (121121).

The spelling of 10102020101 in words is "ten billion, one hundred two million, twenty thousand, one hundred one".