121001012000001 has 80 divisors (see below), whose sum is σ = 210486809731968. Its totient is φ = 67840327872000.

The previous prime is 121001011999979. The next prime is 121001012000009. The reversal of 121001012000001 is 100000210100121.

It is a happy number.

It is not a de Polignac number, because 121001012000001 - 2¹⁴ = 121001011983617 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121001012000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9507226 + ... + 18231548.

Almost surely, 2^{121001012000001} is an apocalyptic number.

It is an amenable number.

121001012000001 is a deficient number, since it is larger than the sum of its proper divisors (89485797731967).

121001012000001 is an equidigital number, since it uses as much as digits as its factorization.

121001012000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724804 (or 8724795 counting only the distinct ones).

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

Adding to 121001012000001 its reverse (100000210100121), we get a palindrome (221001222100122).

The spelling of 121001012000001 in words is "one hundred twenty-one trillion, one billion, twelve million, one", and thus it is an aban number.