2102102001 has 12 divisors (see below), whose sum is σ = 3049404228. Its totient is φ = 1395385344.

The previous prime is 2102101961. The next prime is 2102102017. The reversal of 2102102001 is 1002012012.

It can be written as a sum of positive squares in 2 ways, for example, as 1271279025 + 830822976 = 35655^2 + 28824^2 .

It is not a de Polignac number, because 2102102001 - 2⁹ = 2102101489 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 (2102102081) 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, 499120 + ... + 503313.

It is an arithmetic number, because the mean of its divisors is an integer number (254117019).

Almost surely, 2^2102102001 is an apocalyptic number.

It is an amenable number.

2102102001 is a deficient number, since it is larger than the sum of its proper divisors (947302227).

2102102001 is a wasteful number, since it uses less digits than its factorization.

2102102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002672 (or 1002669 counting only the distinct ones).

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

The square root of 2102102001 is about 45848.6859244624. The cubic root of 2102102001 is about 1281.0062889669.

Adding to 2102102001 its reverse (1002012012), we get a palindrome (3104114013).

The spelling of 2102102001 in words is "two billion, one hundred two million, one hundred two thousand, one".