102122002110200 has 48 divisors (see below), whose sum is σ = 237504680587680. Its totient is φ = 40836581372160.

The previous prime is 102122002110179. The next prime is 102122002110203. The reversal of 102122002110200 is 2011200221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122002110203) 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 11 ways as a sum of consecutive naturals, for example, 75701429 + ... + 77038628.

It is an arithmetic number, because the mean of its divisors is an integer number (4948014178910).

Almost surely, 2^{102122002110200} is an apocalyptic number.

102122002110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122002110200 is an abundant number, since it is smaller than the sum of its proper divisors (135382678477480).

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

102122002110200 is a wasteful number, since it uses less digits than its factorization.

102122002110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152743416 (or 152743407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122002110200 its reverse (2011200221201), we get a palindrome (104133202331401).

The spelling of 102122002110200 in words is "one hundred two trillion, one hundred twenty-two billion, two million, one hundred ten thousand, two hundred".