102002121100110 has 128 divisors (see below), whose sum is σ = 305342045798400. Its totient is φ = 21186183150720.

The previous prime is 102002121100069. The next prime is 102002121100133. The reversal of 102002121100110 is 11001121200201.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4036150 + ... + 14842329.

It is an arithmetic number, because the mean of its divisors is an integer number (2385484732800).

Almost surely, 2^{102002121100110} is an apocalyptic number.

102002121100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002121100110 is an abundant number, since it is smaller than the sum of its proper divisors (203339924698290).

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

102002121100110 is a wasteful number, since it uses less digits than its factorization.

102002121100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880846.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102002121100110 its reverse (11001121200201), we get a palindrome (113003242300311).

The spelling of 102002121100110 in words is "one hundred two trillion, two billion, one hundred twenty-one million, one hundred thousand, one hundred ten".