10100210001001 has 4 divisors (see below), whose sum is σ = 10100222294400. Its totient is φ = 10100197707604.

The previous prime is 10100210000999. The next prime is 10100210001059. The reversal of 10100210001001 is 10010001200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100210001001 - 2¹ = 10100210000999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100210001061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4818661 + ... + 6589378.

It is an arithmetic number, because the mean of its divisors is an integer number (2525055573600).

Almost surely, 2^{10100210001001} is an apocalyptic number.

It is an amenable number.

10100210001001 is a deficient number, since it is larger than the sum of its proper divisors (12293399).

10100210001001 is an equidigital number, since it uses as much as digits as its factorization.

10100210001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293398.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100210001001 its reverse (10010001200101), we get a palindrome (20110211201102).

The spelling of 10100210001001 in words is "ten trillion, one hundred billion, two hundred ten million, one thousand, one".