120011200020101 has 32 divisors (see below), whose sum is σ = 132553340814048. Its totient is φ = 107975367843840.

The previous prime is 120011200020077. The next prime is 120011200020119. The reversal of 120011200020101 is 101020002110021.

It can be written as a sum of positive squares in 16 ways, for example, as 119528521068100 + 482678952001 = 10932910^2 + 694751^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120011200020101 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 (120011200023101) 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 31 ways as a sum of consecutive naturals, for example, 411786905 + ... + 412078241.

It is an arithmetic number, because the mean of its divisors is an integer number (4142291900439).

Almost surely, 2^{120011200020101} is an apocalyptic number.

It is an amenable number.

120011200020101 is a deficient number, since it is larger than the sum of its proper divisors (12542140793947).

120011200020101 is a wasteful number, since it uses less digits than its factorization.

120011200020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296121.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120011200020101 its reverse (101020002110021), we get a palindrome (221031202130122).

The spelling of 120011200020101 in words is "one hundred twenty trillion, eleven billion, two hundred million, twenty thousand, one hundred one".