100010103130201 has 192 divisors, whose sum is σ = 126760893235200. Its totient is φ = 77873312563200.

The previous prime is 100010103130187. The next prime is 100010103130229. The reversal of 100010103130201 is 102031301010001.

It is not a de Polignac number, because 100010103130201 - 2²³ = 100010094741593 is a prime.

It is a super-2 number, since 2×100010103130201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010103130901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78193981480 + ... + 78193982758.

It is an arithmetic number, because the mean of its divisors is an integer number (660212985600).

Almost surely, 2^{100010103130201} is an apocalyptic number.

100010103130201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010103130201 is a deficient number, since it is larger than the sum of its proper divisors (26750790104999).

100010103130201 is a wasteful number, since it uses less digits than its factorization.

100010103130201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100010103130201 its reverse (102031301010001), we get a palindrome (202041404140202).

The spelling of 100010103130201 in words is "one hundred trillion, ten billion, one hundred three million, one hundred thirty thousand, two hundred one".