10420102101 has 32 divisors (see below), whose sum is σ = 14167996416. Its totient is φ = 6811200000.

The previous prime is 10420102061. The next prime is 10420102123. The reversal of 10420102101 is 10120102401.

It is a happy number.

10420102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10420102101 - 2¹⁴ = 10420085717 is a prime.

It is a super-2 number, since 2×10420102101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24176356 + ... + 24176786.

It is an arithmetic number, because the mean of its divisors is an integer number (442749888).

Almost surely, 2^10420102101 is an apocalyptic number.

It is an amenable number.

10420102101 is a deficient number, since it is larger than the sum of its proper divisors (3747894315).

10420102101 is a wasteful number, since it uses less digits than its factorization.

10420102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10420102101 its reverse (10120102401), we get a palindrome (20540204502).

The spelling of 10420102101 in words is "ten billion, four hundred twenty million, one hundred two thousand, one hundred one".