101200101213321 has 12 divisors (see below), whose sum is σ = 159466826154480. Its totient is φ = 61333394674680.

The previous prime is 101200101213251. The next prime is 101200101213353. The reversal of 101200101213321 is 123312101002101.

101200101213321 is a `hidden beast` number, since 1 + 0 + 1 + 200 + 10 + 121 + 332 + 1 = 666.

It is not a de Polignac number, because 101200101213321 - 2⁷ = 101200101213193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200101213294 and 101200101213303.

It is not an unprimeable number, because it can be changed into a prime (101200101213121) 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 11 ways as a sum of consecutive naturals, for example, 511111622191 + ... + 511111622388.

It is an arithmetic number, because the mean of its divisors is an integer number (13288902179540).

Almost surely, 2^{101200101213321} is an apocalyptic number.

101200101213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200101213321 is a deficient number, since it is larger than the sum of its proper divisors (58266724941159).

101200101213321 is a wasteful number, since it uses less digits than its factorization.

101200101213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022223244596 (or 1022223244593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101200101213321 its reverse (123312101002101), we get a palindrome (224512202215422).

The spelling of 101200101213321 in words is "one hundred one trillion, two hundred billion, one hundred one million, two hundred thirteen thousand, three hundred twenty-one".