102110241000 has 128 divisors (see below), whose sum is σ = 318710246400. Its totient is φ = 27218604800.

The previous prime is 102110240987. The next prime is 102110241029. The reversal of 102110241000 is 142011201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 10071934 + ... + 10082066.

It is an arithmetic number, because the mean of its divisors is an integer number (2489923800).

Almost surely, 2^102110241000 is an apocalyptic number.

102110241000 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 102110241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159355123200).

102110241000 is an abundant number, since it is smaller than the sum of its proper divisors (216600005400).

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

102110241000 is a wasteful number, since it uses less digits than its factorization.

102110241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13502 counting only the distinct ones).

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

Adding to 102110241000 its reverse (142011201), we get a palindrome (102252252201).

The spelling of 102110241000 in words is "one hundred two billion, one hundred ten million, two hundred forty-one thousand".