2010102101001 has 12 divisors (see below), whose sum is σ = 3011017139312. Its totient is φ = 1340068067172.

The previous prime is 2010102100991. The next prime is 2010102101039. The reversal of 2010102101001 is 1001012010102.

It is a happy number.

It is not a de Polignac number, because 2010102101001 - 2¹⁰ = 2010102099977 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010102101701) 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 11 ways as a sum of consecutive naturals, for example, 4136012311 + ... + 4136012796.

Almost surely, 2^{2010102101001} is an apocalyptic number.

It is an amenable number.

2010102101001 is a deficient number, since it is larger than the sum of its proper divisors (1000915038311).

2010102101001 is an frugal number, since it uses more digits than its factorization.

2010102101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272025122 (or 8272025110 counting only the distinct ones).

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

Adding to 2010102101001 its reverse (1001012010102), we get a palindrome (3011114111103).

The spelling of 2010102101001 in words is "two trillion, ten billion, one hundred two million, one hundred one thousand, one".