103100333031201 has 32 divisors (see below), whose sum is σ = 150005373613056. Its totient is φ = 62467864200000.

The previous prime is 103100333031167. The next prime is 103100333031217. The reversal of 103100333031201 is 102130333001301.

It is not a de Polignac number, because 103100333031201 - 2³⁸ = 102825455124257 is a prime.

It is a super-4 number, since 4×103100333031201⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103100333031221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181947826 + ... + 2181995076.

It is an arithmetic number, because the mean of its divisors is an integer number (4687667925408).

Almost surely, 2^{103100333031201} is an apocalyptic number.

103100333031201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103100333031201 is a deficient number, since it is larger than the sum of its proper divisors (46905040581855).

103100333031201 is a wasteful number, since it uses less digits than its factorization.

103100333031201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64053.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103100333031201 its reverse (102130333001301), we get a palindrome (205230666032502).

The spelling of 103100333031201 in words is "one hundred three trillion, one hundred billion, three hundred thirty-three million, thirty-one thousand, two hundred one".