1201100120121 has 32 divisors (see below), whose sum is σ = 1790733845376. Its totient is φ = 710183500800.

The previous prime is 1201100120089. The next prime is 1201100120149. The reversal of 1201100120121 is 1210210011021.

It is not a de Polignac number, because 1201100120121 - 2⁵ = 1201100120089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201100120097 and 1201100120106.

It is not an unprimeable number, because it can be changed into a prime (1201104120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010345 + ... + 2538441.

It is an arithmetic number, because the mean of its divisors is an integer number (55960432668).

Almost surely, 2^{1201100120121} is an apocalyptic number.

1201100120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201100120121 is a deficient number, since it is larger than the sum of its proper divisors (589633725255).

1201100120121 is an frugal number, since it uses more digits than its factorization.

1201100120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528234 (or 528152 counting only the distinct ones).

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

Adding to 1201100120121 its reverse (1210210011021), we get a palindrome (2411310131142).

The spelling of 1201100120121 in words is "one trillion, two hundred one billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".