102000101001 has 16 divisors (see below), whose sum is σ = 139141497600. Its totient is φ = 66447134208.

The previous prime is 102000100967. The next prime is 102000101017. The reversal of 102000101001 is 100101000201.

It is not a de Polignac number, because 102000101001 - 2²⁵ = 101966546569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102000101081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195466 + ... + 2241443.

It is an arithmetic number, because the mean of its divisors is an integer number (8696343600).

Almost surely, 2^102000101001 is an apocalyptic number.

It is an amenable number.

102000101001 is a deficient number, since it is larger than the sum of its proper divisors (37141396599).

102000101001 is an equidigital number, since it uses as much as digits as its factorization.

102000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437088.

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

Adding to 102000101001 its reverse (100101000201), we get a palindrome (202101101202).

The spelling of 102000101001 in words is "one hundred two billion, one hundred one thousand, one".