102002212101 has 32 divisors (see below), whose sum is σ = 149425920000. Its totient is φ = 61604756928.

The previous prime is 102002212093. The next prime is 102002212133. The reversal of 102002212101 is 101212200201.

It is not a de Polignac number, because 102002212101 - 2³ = 102002212093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6230875 + ... + 6247223.

It is an arithmetic number, because the mean of its divisors is an integer number (4669560000).

Almost surely, 2^102002212101 is an apocalyptic number.

It is an amenable number.

102002212101 is a deficient number, since it is larger than the sum of its proper divisors (47423707899).

102002212101 is a wasteful number, since it uses less digits than its factorization.

102002212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002212101 its reverse (101212200201), we get a palindrome (203214412302).

The spelling of 102002212101 in words is "one hundred two billion, two million, two hundred twelve thousand, one hundred one".