102001213221001 has 8 divisors (see below), whose sum is σ = 102750754390344. Its totient is φ = 101251744613760.

The previous prime is 102001213220989. The next prime is 102001213221041. The reversal of 102001213221001 is 100122312100201.

It can be written as a sum of positive squares in 4 ways, for example, as 55586642366025 + 46414570854976 = 7455645^2 + 6812824^2 .

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 102001213221001 - 2³⁵ = 101966853482633 is a prime.

It is a super-2 number, since 2×102001213221001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001213221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15317170 + ... + 20943211.

It is an arithmetic number, because the mean of its divisors is an integer number (12843844298793).

Almost surely, 2^{102001213221001} is an apocalyptic number.

It is an amenable number.

102001213221001 is a deficient number, since it is larger than the sum of its proper divisors (749541169343).

102001213221001 is a wasteful number, since it uses less digits than its factorization.

102001213221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36281051.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102001213221001 its reverse (100122312100201), we get a palindrome (202123525321202).

The spelling of 102001213221001 in words is "one hundred two trillion, one billion, two hundred thirteen million, two hundred twenty-one thousand, one".