2120012000001 has 64 divisors (see below), whose sum is σ = 3832993382400. Its totient is φ = 1131930676800.

The previous prime is 2120011999991. The next prime is 2120012000011. The reversal of 2120012000001 is 1000002100212.

It is an interprime number because it is at equal distance from previous prime (2120011999991) and next prime (2120012000011).

It is not a de Polignac number, because 2120012000001 - 2⁵ = 2120011999969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2120012000011) 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 63 ways as a sum of consecutive naturals, for example, 6068685 + ... + 6408506.

It is an arithmetic number, because the mean of its divisors is an integer number (59890521600).

Almost surely, 2^{2120012000001} is an apocalyptic number.

2120012000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120012000001 is a deficient number, since it is larger than the sum of its proper divisors (1712981382399).

2120012000001 is a wasteful number, since it uses less digits than its factorization.

2120012000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477267 (or 12477261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120012000001 its reverse (1000002100212), we get a palindrome (3120014100213).

The spelling of 2120012000001 in words is "two trillion, one hundred twenty billion, twelve million, one", and thus it is an aban number.