1000001212101 has 12 divisors (see below), whose sum is σ = 1444458126540. Its totient is φ = 666661968000.

The previous prime is 1000001212097. The next prime is 1000001212103. The reversal of 1000001212101 is 1012121000001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 395068817025 + 604932395076 = 628545^2 + 777774^2 .

It is not a de Polignac number, because 1000001212101 - 2² = 1000001212097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904365 + ... + 1678653.

It is an arithmetic number, because the mean of its divisors is an integer number (120371510545).

Almost surely, 2^{1000001212101} is an apocalyptic number.

It is an amenable number.

1000001212101 is a deficient number, since it is larger than the sum of its proper divisors (444456914439).

1000001212101 is a wasteful number, since it uses less digits than its factorization.

1000001212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917796 (or 917793 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000001212101 its reverse (1012121000001), we get a palindrome (2012122212102).

The spelling of 1000001212101 in words is "one trillion, one million, two hundred twelve thousand, one hundred one".