102210100111001 has 4 divisors (see below), whose sum is σ = 102218409212004. Its totient is φ = 102201791010000.

The previous prime is 102210100110883. The next prime is 102210100111019. The reversal of 102210100111001 is 100111001012201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35788822605376 + 66421277505625 = 5982376^2 + 8149925^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210100111001 - 2¹⁰ = 102210100109977 is a prime.

It is a super-3 number, since 3×102210100111001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210100111061) 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, 4154532050 + ... + 4154556651.

It is an arithmetic number, because the mean of its divisors is an integer number (25554602303001).

Almost surely, 2^{102210100111001} is an apocalyptic number.

It is an amenable number.

102210100111001 is a deficient number, since it is larger than the sum of its proper divisors (8309101003).

102210100111001 is an equidigital number, since it uses as much as digits as its factorization.

102210100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309101002.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102210100111001 its reverse (100111001012201), we get a palindrome (202321101123202).

The spelling of 102210100111001 in words is "one hundred two trillion, two hundred ten billion, one hundred million, one hundred eleven thousand, one".