1200001101121 has 8 divisors (see below), whose sum is σ = 1216910882088. Its totient is φ = 1183189920000.

The previous prime is 1200001101097. The next prime is 1200001101197. The reversal of 1200001101121 is 1211011000021.

It can be written as a sum of positive squares in 4 ways, for example, as 265513478400 + 934487622721 = 515280^2 + 966689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1200001101121 - 2²¹ = 1199999003969 is a prime.

It is a super-2 number, since 2×1200001101121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200001101098 and 1200001101107.

It is not an unprimeable number, because it can be changed into a prime (1200001101521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24625450 + ... + 24674131.

It is an arithmetic number, because the mean of its divisors is an integer number (152113860261).

Almost surely, 2^{1200001101121} is an apocalyptic number.

It is an amenable number.

1200001101121 is a deficient number, since it is larger than the sum of its proper divisors (16909780967).

1200001101121 is a wasteful number, since it uses less digits than its factorization.

1200001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299923.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1200001101121 its reverse (1211011000021), we get a palindrome (2411012101142).

The spelling of 1200001101121 in words is "one trillion, two hundred billion, one million, one hundred one thousand, one hundred twenty-one".