2100000101001 has 8 divisors (see below), whose sum is σ = 3054545601504. Its totient is φ = 1272727333920.

The previous prime is 2100000100999. The next prime is 2100000101021. The reversal of 2100000101001 is 1001010000012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2100000101001 - 2¹ = 2100000100999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100000101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31818183316 + ... + 31818183381.

It is an arithmetic number, because the mean of its divisors is an integer number (381818200188).

Almost surely, 2^{2100000101001} is an apocalyptic number.

It is an amenable number.

2100000101001 is a deficient number, since it is larger than the sum of its proper divisors (954545500503).

2100000101001 is a wasteful number, since it uses less digits than its factorization.

2100000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63636366711.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2100000101001 its reverse (1001010000012), we get a palindrome (3101010101013).

The spelling of 2100000101001 in words is "two trillion, one hundred billion, one hundred one thousand, one".