1200101122101 has 16 divisors (see below), whose sum is σ = 1936297609344. Its totient is φ = 645432536064.

The previous prime is 1200101122093. The next prime is 1200101122109. The reversal of 1200101122101 is 1012211010021.

It is an interprime number because it is at equal distance from previous prime (1200101122093) and next prime (1200101122109).

It is not a de Polignac number, because 1200101122101 - 2³ = 1200101122093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200101122109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680813540 + ... + 1680814253.

It is an arithmetic number, because the mean of its divisors is an integer number (121018600584).

Almost surely, 2^{1200101122101} is an apocalyptic number.

It is an amenable number.

1200101122101 is a deficient number, since it is larger than the sum of its proper divisors (736196487243).

1200101122101 is a wasteful number, since it uses less digits than its factorization.

1200101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361627820.

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

Adding to 1200101122101 its reverse (1012211010021), we get a palindrome (2212312132122).

The spelling of 1200101122101 in words is "one trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred one".