103122012312011 has 16 divisors (see below), whose sum is σ = 128568011331840. Its totient is φ = 80354622494880.

The previous prime is 103122012312001. The next prime is 103122012312023. The reversal of 103122012312011 is 110213210221301.

It is a cyclic number.

It is not a de Polignac number, because 103122012312011 - 2²² = 103122008117707 is a prime.

It is a super-2 number, since 2×103122012312011² (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 (103122012312001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36684800 + ... + 39395666.

It is an arithmetic number, because the mean of its divisors is an integer number (8035500708240).

Almost surely, 2^{103122012312011} is an apocalyptic number.

103122012312011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103122012312011 is a deficient number, since it is larger than the sum of its proper divisors (25445999019829).

103122012312011 is a wasteful number, since it uses less digits than its factorization.

103122012312011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204914.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 103122012312011 its reverse (110213210221301), we get a palindrome (213335222533312).

The spelling of 103122012312011 in words is "one hundred three trillion, one hundred twenty-two billion, twelve million, three hundred twelve thousand, eleven".