120022001012101 has 8 divisors (see below), whose sum is σ = 121087291964184. Its totient is φ = 118956765312000.

The previous prime is 120022001012083. The next prime is 120022001012153. The reversal of 120022001012101 is 101210100220021.

It can be written as a sum of positive squares in 4 ways, for example, as 6415714121476 + 113606286890625 = 2532926^2 + 10658625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120022001012101 - 2³⁹ = 119472245198213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022001012701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9443076 + ... + 18144301.

It is an arithmetic number, because the mean of its divisors is an integer number (15135911495523).

Almost surely, 2^{120022001012101} is an apocalyptic number.

It is an amenable number.

120022001012101 is a deficient number, since it is larger than the sum of its proper divisors (1065290952083).

120022001012101 is a wasteful number, since it uses less digits than its factorization.

120022001012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27625991.

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

Adding to 120022001012101 its reverse (101210100220021), we get a palindrome (221232101232122).

The spelling of 120022001012101 in words is "one hundred twenty trillion, twenty-two billion, one million, twelve thousand, one hundred one".