120200200101201 has 288 divisors, whose sum is σ = 196326214318080. Its totient is φ = 65298126080000.

The previous prime is 120200200101199. The next prime is 120200200101203. The reversal of 120200200101201 is 102101002002021.

It is an interprime number because it is at equal distance from previous prime (120200200101199) and next prime (120200200101203).

It is not a de Polignac number, because 120200200101201 - 2¹ = 120200200101199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120200200101203) 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 287 ways as a sum of consecutive naturals, for example, 29381616166 + ... + 29381620256.

It is an arithmetic number, because the mean of its divisors is an integer number (681688244160).

Almost surely, 2^{120200200101201} is an apocalyptic number.

120200200101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120200200101201 is a deficient number, since it is larger than the sum of its proper divisors (76126014216879).

120200200101201 is a wasteful number, since it uses less digits than its factorization.

120200200101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120200200101201 its reverse (102101002002021), we get a palindrome (222301202103222).

The spelling of 120200200101201 in words is "one hundred twenty trillion, two hundred billion, two hundred million, one hundred one thousand, two hundred one".