101121322305 has 16 divisors (see below), whose sum is σ = 162111994560. Its totient is φ = 53825412288.

The previous prime is 101121322301. The next prime is 101121322339. The reversal of 101121322305 is 503223121101.

It is not a de Polignac number, because 101121322305 - 2² = 101121322301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121322301) 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 15 ways as a sum of consecutive naturals, for example, 6614587 + ... + 6629856.

It is an arithmetic number, because the mean of its divisors is an integer number (10131999660).

Almost surely, 2^101121322305 is an apocalyptic number.

101121322305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101121322305 is a deficient number, since it is larger than the sum of its proper divisors (60990672255).

101121322305 is a wasteful number, since it uses less digits than its factorization.

101121322305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244960.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 101121322305 its reverse (503223121101), we get a palindrome (604344443406).

The spelling of 101121322305 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred five".