2120000102001 has 24 divisors (see below), whose sum is σ = 3321434889864. Its totient is φ = 1297752330240.

The previous prime is 2120000101987. The next prime is 2120000102023. The reversal of 2120000102001 is 1002010000212.

It can be written as a sum of positive squares in 4 ways, for example, as 441628031601 + 1678372070400 = 664551^2 + 1295520^2 .

It is not a de Polignac number, because 2120000102001 - 2⁷ = 2120000101873 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 (2120000102401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168971896 + ... + 168984441.

It is an arithmetic number, because the mean of its divisors is an integer number (138393120411).

Almost surely, 2^{2120000102001} is an apocalyptic number.

It is an amenable number.

2120000102001 is a deficient number, since it is larger than the sum of its proper divisors (1201434787863).

2120000102001 is a wasteful number, since it uses less digits than its factorization.

2120000102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337956401 (or 337956398 counting only the distinct ones).

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

Adding to 2120000102001 its reverse (1002010000212), we get a palindrome (3122010102213).

The spelling of 2120000102001 in words is "two trillion, one hundred twenty billion, one hundred two thousand, one".