10120422402101 has 16 divisors (see below), whose sum is σ = 11176256831616. Its totient is φ = 9087653400000.

The previous prime is 10120422402071. The next prime is 10120422402131.

10120422402101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10120422402071) and next prime (10120422402131).

It is a cyclic number.

It is not a de Polignac number, because 10120422402101 - 2¹⁸ = 10120422139957 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 (10120422402131) 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 15 ways as a sum of consecutive naturals, for example, 10350905 + ... + 11286366.

It is an arithmetic number, because the mean of its divisors is an integer number (698516051976).

Almost surely, 2^{10120422402101} is an apocalyptic number.

10120422402101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120422402101 is a deficient number, since it is larger than the sum of its proper divisors (1055834429515).

10120422402101 is a wasteful number, since it uses less digits than its factorization.

10120422402101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21637804.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1012042 and 2402101, that added together give a palindrome (3414143).

The spelling of 10120422402101 in words is "ten trillion, one hundred twenty billion, four hundred twenty-two million, four hundred two thousand, one hundred one".