1012121112001 has 4 divisors (see below), whose sum is σ = 1021406626900. Its totient is φ = 1002835597104.

The previous prime is 1012121111941. The next prime is 1012121112007. The reversal of 1012121112001 is 1002111212101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 338369073025 + 673752038976 = 581695^2 + 820824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121112001 - 2²³ = 1012112723393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012121112007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4642757286 + ... + 4642757503.

It is an arithmetic number, because the mean of its divisors is an integer number (255351656725).

Almost surely, 2^{1012121112001} is an apocalyptic number.

It is an amenable number.

1012121112001 is a deficient number, since it is larger than the sum of its proper divisors (9285514899).

1012121112001 is an equidigital number, since it uses as much as digits as its factorization.

1012121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285514898.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1012121112001 its reverse (1002111212101), we get a palindrome (2014232324102).

The spelling of 1012121112001 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one".