102102211001 has 16 divisors (see below), whose sum is σ = 123183759360. Its totient is φ = 82671094800.

The previous prime is 102102210941. The next prime is 102102211019. The reversal of 102102211001 is 100112201201.

It is not a de Polignac number, because 102102211001 - 2³⁰ = 101028469177 is a prime.

It is a super-2 number, since 2×102102211001² (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 (102102211061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060025 + ... + 1152326.

It is an arithmetic number, because the mean of its divisors is an integer number (7698984960).

Almost surely, 2^102102211001 is an apocalyptic number.

It is an amenable number.

102102211001 is a deficient number, since it is larger than the sum of its proper divisors (21081548359).

102102211001 is a wasteful number, since it uses less digits than its factorization.

102102211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212724.

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

Adding to 102102211001 its reverse (100112201201), we get a palindrome (202214412202).

The spelling of 102102211001 in words is "one hundred two billion, one hundred two million, two hundred eleven thousand, one".