102010001 has 8 divisors (see below), whose sum is σ = 104305320. Its totient is φ = 99728512.

The previous prime is 102009983. The next prime is 102010033. The reversal of 102010001 is 100010201.

It is a happy number.

It is a Cunningham number, because it is equal to 10100²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 73547776 + 28462225 = 8576^2 + 5335^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102010001 - 2¹⁸ = 101747857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12245 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (13038165).

Almost surely, 2^102010001 is an apocalyptic number.

It is an amenable number.

102010001 is a deficient number, since it is larger than the sum of its proper divisors (2295319).

102010001 is an equidigital number, since it uses as much as digits as its factorization.

102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 102010001 is about 10100.0000495050. Note that the first 4 decimals coincide. The cubic root of 102010001 is about 467.2481429115.

Adding to 102010001 its reverse (100010201), we get a palindrome (202020202).

The spelling of 102010001 in words is "one hundred two million, ten thousand, one".