102011221001 has 16 divisors (see below), whose sum is σ = 105225378048. Its totient is φ = 98832988800.

The previous prime is 102011220991. The next prime is 102011221043. The reversal of 102011221001 is 100122110201.

It is a cyclic number.

It is not a de Polignac number, because 102011221001 - 2²² = 102007026697 is a prime.

It is a super-2 number, since 2×102011221001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011223001) 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 15 ways as a sum of consecutive naturals, for example, 6453830 + ... + 6469616.

It is an arithmetic number, because the mean of its divisors is an integer number (6576586128).

Almost surely, 2^102011221001 is an apocalyptic number.

It is an amenable number.

102011221001 is a deficient number, since it is larger than the sum of its proper divisors (3214157047).

102011221001 is a wasteful number, since it uses less digits than its factorization.

102011221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102011221001 its reverse (100122110201), we get a palindrome (202133331202).

The spelling of 102011221001 in words is "one hundred two billion, eleven million, two hundred twenty-one thousand, one".