102442214000 has 160 divisors (see below), whose sum is σ = 286972573056. Its totient is φ = 34641561600.

The previous prime is 102442213999. The next prime is 102442214011. The reversal of 102442214000 is 412244201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971882 + ... + 1072118.

Almost surely, 2^102442214000 is an apocalyptic number.

102442214000 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 102442214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143486286528).

102442214000 is an abundant number, since it is smaller than the sum of its proper divisors (184530359056).

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

102442214000 is a wasteful number, since it uses less digits than its factorization.

102442214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100340 (or 100324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102442214000 its reverse (412244201), we get a palindrome (102854458201).

The spelling of 102442214000 in words is "one hundred two billion, four hundred forty-two million, two hundred fourteen thousand".