10201420410100 has 18 divisors (see below), whose sum is σ = 22137082290134. Its totient is φ = 4080568164000.

The previous prime is 10201420410079. The next prime is 10201420410131. The reversal of 10201420410100 is 101402410201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1610553893776 + 8590866516324 = 1269076^2 + 2931018^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 51007101951 + ... + 51007102150.

Almost surely, 2^{10201420410100} is an apocalyptic number.

10201420410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201420410100 is an abundant number, since it is smaller than the sum of its proper divisors (11935661880034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201420410100 is a wasteful number, since it uses less digits than its factorization.

10201420410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102014204115 (or 102014204108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201420410100 its reverse (101402410201), we get a palindrome (10302822820301).

The spelling of 10201420410100 in words is "ten trillion, two hundred one billion, four hundred twenty million, four hundred ten thousand, one hundred".