100210110001 has 4 divisors (see below), whose sum is σ = 106104822372. Its totient is φ = 94315397632.

The previous prime is 100210109981. The next prime is 100210110053. The reversal of 100210110001 is 100011012001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100011012001 = 163169 ⋅612929.

It can be written as a sum of positive squares in 2 ways, for example, as 94273561600 + 5936548401 = 307040^2 + 77049^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210110001 - 2²⁹ = 99673239089 is a prime.

It is a super-2 number, since 2×100210110001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210110701) 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, 2947356160 + ... + 2947356193.

It is an arithmetic number, because the mean of its divisors is an integer number (26526205593).

Almost surely, 2^100210110001 is an apocalyptic number.

It is an amenable number.

100210110001 is a deficient number, since it is larger than the sum of its proper divisors (5894712371).

100210110001 is an equidigital number, since it uses as much as digits as its factorization.

100210110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894712370.

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

Adding to 100210110001 its reverse (100011012001), we get a palindrome (200221122002).

The spelling of 100210110001 in words is "one hundred billion, two hundred ten million, one hundred ten thousand, one".