100102221021001 has 8 divisors (see below), whose sum is σ = 100253362776840. Its totient is φ = 99951088942848.

The previous prime is 100102221020981. The next prime is 100102221021013. The reversal of 100102221021001 is 100120122201001.

It can be written as a sum of positive squares in 4 ways, for example, as 12470249192976 + 87631971828025 = 3531324^2 + 9361195^2 .

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 100102221021001 - 2²¹ = 100102218923849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102221021601) 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, 18418785 + ... + 23226193.

It is an arithmetic number, because the mean of its divisors is an integer number (12531670347105).

Almost surely, 2^{100102221021001} is an apocalyptic number.

It is an amenable number.

100102221021001 is a deficient number, since it is larger than the sum of its proper divisors (151141755839).

100102221021001 is an equidigital number, since it uses as much as digits as its factorization.

100102221021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838843.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102221021001 its reverse (100120122201001), we get a palindrome (200222343222002).

The spelling of 100102221021001 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, twenty-one thousand, one".