102210110001 has 12 divisors (see below), whose sum is σ = 147699493812. Its totient is φ = 68111149536.

The previous prime is 102210109997. The next prime is 102210110017. The reversal of 102210110001 is 100011012201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45763477776 + 56446632225 = 213924^2 + 237585^2 .

It is not a de Polignac number, because 102210110001 - 2² = 102210109997 is a prime.

It is a super-3 number, since 3×102210110001³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102210117001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2387926 + ... + 2430351.

It is an arithmetic number, because the mean of its divisors is an integer number (12308291151).

Almost surely, 2^102210110001 is an apocalyptic number.

It is an amenable number.

102210110001 is a deficient number, since it is larger than the sum of its proper divisors (45489383811).

102210110001 is a wasteful number, since it uses less digits than its factorization.

102210110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820640 (or 4820637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102210110001 its reverse (100011012201), we get a palindrome (202221122202).

The spelling of 102210110001 in words is "one hundred two billion, two hundred ten million, one hundred ten thousand, one".