1000102221001 has 8 divisors (see below), whose sum is σ = 1077438555144. Its totient is φ = 922823800320.

The previous prime is 1000102220989. The next prime is 1000102221017. The reversal of 1000102221001 is 1001222010001.

It can be written as a sum of positive squares in 4 ways, for example, as 167219655625 + 832882565376 = 408925^2 + 912624^2 .

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 1000102221001 - 2¹⁷ = 1000102089929 is a prime.

It is a super-2 number, since 2×1000102221001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000102221091) 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, 14442490 + ... + 14511571.

It is an arithmetic number, because the mean of its divisors is an integer number (134679819393).

Almost surely, 2^{1000102221001} is an apocalyptic number.

It is an amenable number.

1000102221001 is a deficient number, since it is larger than the sum of its proper divisors (77336334143).

1000102221001 is a wasteful number, since it uses less digits than its factorization.

1000102221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28956731.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000102221001 its reverse (1001222010001), we get a palindrome (2001324231002).

The spelling of 1000102221001 in words is "one trillion, one hundred two million, two hundred twenty-one thousand, one".