120000112112101 has 32 divisors (see below), whose sum is σ = 134943462888192. Its totient is φ = 105879565862400.

The previous prime is 120000112112071. The next prime is 120000112112123. The reversal of 120000112112101 is 101211211000021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120000112112101 - 2⁷ = 120000112111973 is a prime.

It is a super-3 number, since 3×120000112112101³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000112112141) 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, 4224895566 + ... + 4224923968.

It is an arithmetic number, because the mean of its divisors is an integer number (4216983215256).

Almost surely, 2^{120000112112101} is an apocalyptic number.

It is an amenable number.

120000112112101 is a deficient number, since it is larger than the sum of its proper divisors (14943350776091).

120000112112101 is a wasteful number, since it uses less digits than its factorization.

120000112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37773.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120000112112101 its reverse (101211211000021), we get a palindrome (221211323112122).

The spelling of 120000112112101 in words is "one hundred twenty trillion, one hundred twelve million, one hundred twelve thousand, one hundred one".