10420101314 has 16 divisors (see below), whose sum is σ = 17874600000. Its totient is φ = 4462865424.

The previous prime is 10420101311. The next prime is 10420101317. The reversal of 10420101314 is 41310102401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10420101311) and next prime (10420101317).

It is a super-2 number, since 2×10420101314² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10420101292 and 10420101301.

It is not an unprimeable number, because it can be changed into a prime (10420101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218564 + ... + 261935.

It is an arithmetic number, because the mean of its divisors is an integer number (1117162500).

Almost surely, 2^10420101314 is an apocalyptic number.

10420101314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10420101314 is a deficient number, since it is larger than the sum of its proper divisors (7454498686).

10420101314 is a wasteful number, since it uses less digits than its factorization.

10420101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482057.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10420101314 its reverse (41310102401), we get a palindrome (51730203715).

The spelling of 10420101314 in words is "ten billion, four hundred twenty million, one hundred one thousand, three hundred fourteen".