102010110123200 has 168 divisors, whose sum is σ = 258547030621440. Its totient is φ = 39591167616000.

The previous prime is 102010110123199. The next prime is 102010110123283. The reversal of 102010110123200 is 2321011010201.

It is a super-2 number, since 2×102010110123200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5479181 + ... + 15298419.

Almost surely, 2^{102010110123200} is an apocalyptic number.

102010110123200 is a gapful number since it is divisible by the number (10) 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 102010110123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129273515310720).

102010110123200 is an abundant number, since it is smaller than the sum of its proper divisors (156536920498240).

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

102010110123200 is a wasteful number, since it uses less digits than its factorization.

102010110123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819455 (or 9819440 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102010110123200 its reverse (2321011010201), we get a palindrome (104331121133401).

The spelling of 102010110123200 in words is "one hundred two trillion, ten billion, one hundred ten million, one hundred twenty-three thousand, two hundred".