120100200002001 has 6 divisors (see below), whose sum is σ = 173478066669570. Its totient is φ = 80066800001328.

The previous prime is 120100200001961. The next prime is 120100200002051. The reversal of 120100200002001 is 100200002001021.

It can be written as a sum of positive squares in only one way, i.e., 73579956671376 + 46520243330625 = 8577876^2 + 6820575^2 .

It is not a de Polignac number, because 120100200002001 - 2⁶ = 120100200001937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13344466666889 = 120100200002001 / (1 + 2 + 0 + 1 + 0 + 0 + 2 + 0 + 0 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (120100200002051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6672233333436 + ... + 6672233333453.

It is an arithmetic number, because the mean of its divisors is an integer number (28913011111595).

Almost surely, 2^{120100200002001} is an apocalyptic number.

It is an amenable number.

120100200002001 is a deficient number, since it is larger than the sum of its proper divisors (53377866667569).

120100200002001 is a wasteful number, since it uses less digits than its factorization.

120100200002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344466666895 (or 13344466666892 counting only the distinct ones).

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

Adding to 120100200002001 its reverse (100200002001021), we get a palindrome (220300202003022).

The spelling of 120100200002001 in words is "one hundred twenty trillion, one hundred billion, two hundred million, two thousand, one".