120100001211201 has 24 divisors (see below), whose sum is σ = 176016410035200. Its totient is φ = 72787018052320.

The previous prime is 120100001211089. The next prime is 120100001211293. The reversal of 120100001211201 is 102112100001021.

It is not a de Polignac number, because 120100001211201 - 2²² = 120099997016897 is a prime.

It is a super-3 number, since 3×120100001211201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120100001211301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29448151 + ... + 33277523.

It is an arithmetic number, because the mean of its divisors is an integer number (7334017084800).

Almost surely, 2^{120100001211201} is an apocalyptic number.

120100001211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120100001211201 is a deficient number, since it is larger than the sum of its proper divisors (55916408823999).

120100001211201 is a wasteful number, since it uses less digits than its factorization.

120100001211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915797 (or 3915786 counting only the distinct ones).

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

Adding to 120100001211201 its reverse (102112100001021), we get a palindrome (222212101212222).

The spelling of 120100001211201 in words is "one hundred twenty trillion, one hundred billion, one million, two hundred eleven thousand, two hundred one".