100420214301 has 24 divisors (see below), whose sum is σ = 158248022400. Its totient is φ = 60856848000.

The previous prime is 100420214269. The next prime is 100420214317. The reversal of 100420214301 is 103412024001.

100420214301 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 214 + 30 + 1 = 666.

It is not a de Polignac number, because 100420214301 - 2⁵ = 100420214269 is a prime.

It is a super-3 number, since 3×100420214301³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420214101) 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 23 ways as a sum of consecutive naturals, for example, 2599276 + ... + 2637626.

It is an arithmetic number, because the mean of its divisors is an integer number (6593667600).

Almost surely, 2^100420214301 is an apocalyptic number.

100420214301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100420214301 is a deficient number, since it is larger than the sum of its proper divisors (57827808099).

100420214301 is a wasteful number, since it uses less digits than its factorization.

100420214301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64817 (or 64814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100420214301 its reverse (103412024001), we get a palindrome (203832238302).

It can be divided in two parts, 100420 and 214301, that added together give a square (314721 = 561²).

The spelling of 100420214301 in words is "one hundred billion, four hundred twenty million, two hundred fourteen thousand, three hundred one".