102002121108 has 144 divisors (see below), whose sum is σ = 267220961280. Its totient is φ = 32781687552.

The previous prime is 102002121101. The next prime is 102002121139. The reversal of 102002121108 is 801121200201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002121101) 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 47 ways as a sum of consecutive naturals, for example, 91317366 + ... + 91318482.

It is an arithmetic number, because the mean of its divisors is an integer number (1855701120).

Almost surely, 2^102002121108 is an apocalyptic number.

102002121108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002121108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133610480640).

102002121108 is an abundant number, since it is smaller than the sum of its proper divisors (165218840172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002121108 is a wasteful number, since it uses less digits than its factorization.

102002121108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102002121108 its reverse (801121200201), we get a palindrome (903123321309).

The spelling of 102002121108 in words is "one hundred two billion, two million, one hundred twenty-one thousand, one hundred eight".