120111120000201 has 128 divisors (see below), whose sum is σ = 182788563271680. Its totient is φ = 69498572083200.

The previous prime is 120111120000149. The next prime is 120111120000247. The reversal of 120111120000201 is 102000021111021.

It is not a de Polignac number, because 120111120000201 - 2¹⁰ = 120111119999177 is a prime.

It is a super-2 number, since 2×120111120000201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120111120000281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23979059185 + ... + 23979064193.

It is an arithmetic number, because the mean of its divisors is an integer number (1428035650560).

Almost surely, 2^{120111120000201} is an apocalyptic number.

120111120000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120111120000201 is a deficient number, since it is larger than the sum of its proper divisors (62677443271479).

120111120000201 is a wasteful number, since it uses less digits than its factorization.

120111120000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120111120000201 its reverse (102000021111021), we get a palindrome (222111141111222).

The spelling of 120111120000201 in words is "one hundred twenty trillion, one hundred eleven billion, one hundred twenty million, two hundred one", and thus it is an aban number.