101120012000221 has 16 divisors (see below), whose sum is σ = 107488086825600. Its totient is φ = 94799186431488.

The previous prime is 101120012000209. The next prime is 101120012000233. The reversal of 101120012000221 is 122000210021101.

It is an interprime number because it is at equal distance from previous prime (101120012000209) and next prime (101120012000233).

It is not a de Polignac number, because 101120012000221 - 2⁹ = 101120011999709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120012000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993216 + ... + 14771113.

It is an arithmetic number, because the mean of its divisors is an integer number (6718005426600).

Almost surely, 2^{101120012000221} is an apocalyptic number.

It is an amenable number.

101120012000221 is a deficient number, since it is larger than the sum of its proper divisors (6368074825379).

101120012000221 is a wasteful number, since it uses less digits than its factorization.

101120012000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18765588.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101120012000221 its reverse (122000210021101), we get a palindrome (223120222021322).

The spelling of 101120012000221 in words is "one hundred one trillion, one hundred twenty billion, twelve million, two hundred twenty-one", and thus it is an aban number.